Question

The area of the rectangle
is 84 square inches. Find its
length and width​

Answer 1

Length l = 7 in.

Breadth b = 12 in.

Explanation:

Given, area of the rectangle = 84 Square inches.

Area of the rectangle =
`$ l * b $`

where, 'l' is the length and

'b' is the breadth of the rectangle.

Therefore, from the formula and the figure, we would have:

`$ (x - 2) * (x + 3) = 84 $`

`$ \implies x^2 - 2x + 3x - 6 = 84 $`

`$ \implies x^2 + x = 90 $`

`$ \therefore x = 9 $`

Therefore, Length, l = x - 2 = 7 in.

Breadth, b = x + 3 = 12 in.