Question

a) The perimeter of a rectangular garden is 318 m.
If the width of the garden is 71 m, what is its length?
Length of the garden:
(b) The area of a rectangular window is 6675 cm.
If the length of the window is 89 cm, what is its width?
Width of the window:
cm
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Answer 1

Answer:

1. length = 88 m., 2. width = 75 cm.

Step-by-step explanation:

To find perimeter, we need to add together the measure of all of the sides. Since we now that the garden is a rectangle, we know that two of the sides are the same length and the other 2 sides are the same length.

The equation for finding perimeter in this question: P = w + w + l + l

let's put the values we know into the equation.

318 = 71 + 71 + l + l

Combine like terms: 318 = 142 + 2l

Subtract 142 from both sides to isolate the 2l: 176 = 2l

Divide both sides by 2 to isolate the l: 88 = l

To find area, you use this equation: A = l * w

Let's put the values we know into the equation

6,675 = 89 * w

Divide both sides by 89 to isolate the w

75 = w