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(a) The perimeter of a rectangular garden is 312 m.If the length of the garden is 89 m, what is its width?Width of the garden: ]וח(b) The area of a rectangular window is 6205 cm?If the width of the window is 73 cm, what is its length?Length of the window: 7 cm

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EXPLANATION

Let's see the facts:

Perimeter = P = 312 m

Length = l = 89m

Width = w = unknown

The perimeter of a rectangle is given by the following relationship:


P=2(w+l)

Replacing terms:


312=2(w+89)_{}

Applying the distributive property:


312=2w\text{ + 178}

Subtracting 178 to both sides:


312-178=2w
134=2w

Dividing 2 to both sides:


(134)/(2)=w

Simplifying:


67=w

Switching sides:


w=67

The width of the garden is 67 meters.

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