# math-DUE TONIGHT PLEASE HELP

Robert has a rectangular garden that is currently 180ft^2 and has a perimeter of 54ft He wants to increase the size of his garden by 5 ft in both directions. What will be the area of his expanded garden?

A)
340
B)
74
C)
135
D)
900

1. 👍
2. 👎
3. 👁
1. let the width be x
let the length be y

so we know 2x + 2y = 54
x + y = 27
and y = 27-x

new width = x+5
new length = y+5 = 27-x + 5 = 32-x

Isn't area = length x width ?
old garden:
x(27-x) = 180
-x^2 + 27x - 180 = 0
x^2 - 27x + 180 = 0
(x-15)(x-12) = 0
x = 15 or x = 12
then y = 12 or y = 15 (symmetric solution)

so the garden was 15 by 12

take it from there

1. 👍
2. 👎

## Similar Questions

1. ### math

A farmer has 90 meters of fencing and would like to use the fencing to create a rectangular garden where one of the sides of the garden is against the side of a barn. Let L represent the varying length of the rectangular garden

2. ### Math

the width w of a rectangular garden is x-2 the area of the garden is x^3-2x-4 what is an expression for the length of the garden

3. ### math

the perimeter of a rectangular garden is 40 meters. the length of the garden is 1 meter less than twice its with. what are the dimensions of the garden?

4. ### Math

A rectangular garden has a width of 90 feet. The perimeter is 500 feet. What is length of the garden?

1. ### Algebra

You are planning to build a walkway that surrounds a rectangular garden that is 10ft by 9ft. The width of the walkway around the garden is unknown, but it will be the same on every side. a)what is the perimeter of the walkway

2. ### math

The perimeter of a rectangular garden is 62 m.If the length is 3 meters longer than the width,what is the width of the garden?

3. ### math

A square garden has a side length that si 3 meters shorter than the length of a rectangular garden. Find the perimeter of the rectangular garden in terms of y

4. ### Algebra

The length of a rectangular Garden is 40 yards longer then double the width The perimeter of the garden is 470 yards. find length and width of the Garden. L=2W+40 2W+2(2W+40=80 Kinda stuck here.

1. ### Algebra

A load of soil that can cover a garden with an area of 1,100 square feet was donated to a community garden. The gardeners would like to create a rectangular garden that is 10 feet more than twice its width. The equation (?) could

2. ### math

Mariah is planting a rectangular rose garden,in the center of the garden, she puts a smaller rectangular patch of grass. the grass is 2ft by 3ft. What is the area of the rose garden?

3. ### math

The length of rectangular garden 5m longer than its breadth . If the perimeter is 150 than find its area of garden

4. ### Math

The perimeter of a rectangular garden is 108 meters. The length is 6 meters longer than twice the width. Find the dimensions of the garden.