Question

(a) The perimeter of a rectangular garden is 292 m.

If the length of the garden is 89 m, what is its width?
Width of the garden: ?
(b) The area of a rectangular window is 7968 cm².
If the width of the window is 83 cm, what is its length?
Length of the window: ?

Answer 1

(a) Let width of garden be w m.

Perimeter = length + width + length + width

Substitute the values into the equation.

89 + w + 89 + w = 292

Simplify and solve for w.

2w + 178 = 292

2w = 114

w = 57

Hence, width of garden is 57 m.

(b) Let length of window be L cm.

Area = length × width

Substitute the values into the equation.

L × 83 = 7968

Simplify and solve for L.

83L = 7968

L = 96

Hence, length of window is 96 cm.