Question

(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

Answer 1

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.