Question

Peter is planting a rectangular garden. The length is 15 yards longer than the width. Jorge is planting a square garden. The sides of Jorge's garden are equal to the width of Peter's garden. What is the ratio of the area of Peter's garden to the area of Jorge's garden? Use this ratio to find the ratio of the areas if the width of Peter's garden is 32 yards.
x + 32/x ; 32/15

x-32/x ; 32/15

x+15/x ; 47/32

x-15/x ; 47/32

Answer 1

If the width of peter's garden is 32 yards, the ratio of the areas is 47: 32

Area of a rectangle.

area of rectangle = lw

where

• l = length
• w = width

Therefore,

Peter rectangular garden

• l = 15 + x

Jorge is planting a square garden. The sides of Jorge's garden are equal to the width of Peter's garden.

Therefore,

• x = side of Jorge garden

The ratios are as follows;

(15 + x)x : x²

Therefore, if the width of peter's garden is 32 yards, the ratio of the areas is as follows:

(15 + 32)32 : 32²

1504: 1024

752: 512

376: 256

94:64

47: 32

learn more on rectangle here: brainly.com/question/23881202

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