Gavin has a deck that measures 6 feet by
3 feet. He wants to increase each
dimension by equal lengths so that its
area is tripled. By how much should he
increase each dimension?
Answer:
feet

Each dimension should be increased by four times so that the area is tripled and each dimension is equal in length.

What is a quadratic equation?

Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

In mathematics, a dimension is the length or width of an area, region, or space in one direction.

area = length × width

    a = l × w

But, we want to triple than area;

3A = 3 (l × w)

3A = (k × l) (k × w)

k² = 3

k = √3

The new dimensions will be: 6√3 and 3√3

Increased Dimension: 6√3 - 6 and 3√3 - 3

let x is the amount of increase in each side:

(x + 6) (x + 3) = 3(18)

x² + 3x + 6x + 18 = 54

x² + 9x + 18 = 54

x² + 9x - 36 = 0

∵ x = 4

Hence, each dimension should be increased by four times so that the area is tripled and each dimension is equal in length.

To learn more about quadratic equations visit,

https://brainly.com/question/1526946

#SPJ1

Answer:3

Step-by-step explanation:

Please Help. Will mark brainliest!!!

Sebastian ran 8.64 miles in 2.4 hours at a steady pace. How many miles did Sebastian run in 1 hour? How many miles did Sebastian run in the last 24 minutes? Justify your answer.

A swimming pool with 1600 gallons of water is
emptied at a rate of 300 gallons every 2 hours.
Enter an equation in the form y = mx +b that represents the
amount of water (y), in gallons, remaining in the pool after x hours. Please help

Use the circle below to find the correct value of x:

Kaysha's aunt gave her $5,500 when she was born. Her parents invested it at a rate of 4% interest rate compounded annually. No deposits or withdrawals were made. How much money will Kaysha have when she turns 18 years old?

If marco buys a shirt for $45.20 and has a discount of 30% what is the new price of the shirt?

One clay brick weighs 5.4 pounds. The brick is 4 inches long and 2 1/ 4 inches wide. If the clay weighs 0.02 pounds per cubic inch, what is the volume of the brick? Round your answer to the nearest integer.

The dimensions of the rabbit pen (formerly the garden) are 7 yards by 8 yards. When will Claire run out of room for her rabbits? Explain.

Find the area of the shape shown below.

select the statement that does not correctly use probability to describe an event

Lola spends one-fourth of her monthly salary on her car payment. She spends $250 on her car payment. Write and solve an equation to determine Lola's monthly salary.

Can someone help only answer if you know and scam links are getting reported

If I have the letter x after a number, what does it mean?

Ex. 20x = 5

The 5th term in a geometric sequence is 120. The 7th term is 30. What are the possible values of the 6th term of the sequence.

Help whit number 6 please! Really fast !!

Find the surface area of each figure. Round to the hundredths place when necessary.​

What is the constant term in the expression 8xy − 9x2 y − 5x + 6? (5 points)


−9

−5

6

8

find m
please help me

PLEASE HELP ME PLEASE??

Help me with this please

O D) 96
10) What is the value of the expression 16 + 24 = 2^3x3 - 8
1 point
A) 7
B) 9
C) 17
D) 20
1 point
ncion is equivalent to b+b+b+b? *

Indicate the answer choice that best completes the statement or answers the question Refer to the table that shows the highway fuel economy of various popular vehicles. Fuel Economy (Miles per Gallon) 48 25 35 34 33 37 32 34 23 30 Determine the mean absolute deviation. Round to the nearest hundredth a. 4.5 miles per gallon 33.5 miles per gallon b. 34 miles per gallon d. 33.1 miles per gallon​

What is the distance between the two points?

What is the range of the number of minutes that employees commute to work?

Find the scale factor of trapezoid \mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}QRST if it is dilated to \mathrm{Q}^{'} \mathrm{R}^{'} \mathrm{S}^{'} \mathrm{T}^{'}Q ′ R ′ S ′ T ′ . Type your result in the empty box provided below.

In one day, a book store earned $189 in sales for 4 copies of a new cookbook and 5 copies of a new science fiction novel. On the next day, it earned $146 in sales for 3 copies of the cookbook and 4 copies of the science fiction novel. What was the price of each book?

what's 80/100 times $90

How do I solve this equation? I don’t understand it

PLEASE HELP ASAP!! THIS IS LATE! :(
Which answer best summarizes the state's responsibilities to the national government under the Articles of Confederation?

A. States had to pay taxes set by Congress and provide soldiers during war time.

B. States had to provide representatives to Congress but soldiers were sent only to state militaries.

C. States sent representatives to Congress and provided soldiers and some officers to protect the country.

D. States provided money in the form of taxes, sent representatives to Congress, and had to supply soldiers during war.

Make a circle graph for each set of data.

Costliest Natural Disasters in the U.S.
Disaster
Cost (billions)
Hurricane Andrew, 1992
$20.0
Northridge, CA, Earthquake, 1994
$12.5
Hurricane Hugo, 1989
$7.0
Hurricane Betsy, 1965
$6.3
Tropical Storm Allison, 2001
$5.0
Source: Scholastic Kid’s Almanac

a.
A circle graph. Andrew is about 50 percent, Northridge, 20 percent; Hugo, 12 percent; Betsy, 8 percent; Allison, 5 percent.
c.
A circle graph. Andrew is about 35 percent, Northridge, 20 percent; Hugo, 8 percent; Betsy, 6 percent; Allison, 10 percent.
b.
A circle graph. Andrew is about 35 percent, Northridge, 20 percent; Hugo, 10 percent; Betsy, 8 percent; Allison, 5 percent.
d.
A circle graph. Andrew is about 23 percent, Northridge, 23 percent; Hugo, 8 percent; Betsy, 12 percent; Allison, 8 percent.



Please select the best answer from the choices provided


A
B
C
D

HELP! I'm stuck. -.- I keep confusing myself. If you guys answer this can ya'll tell me how to do it correctly. I feel like this might happen again so.