Question

The perimeter of a rectangle is 62 m. Find the length of its sides if it is known that the area of the rectangle is 1980000 cm².

Answer 1

22m by 9m.

Explanation:

1980000 cm^2 = 1980000 / 1000 = 198 m^2.

If the length is L and the width is W, then

2L + 2W = 62

LW = 198

L = 198/ W

Substitute for L in the first equation:

2W + 2(198/W) = 62

Multiply through by W:

2W^2 + 396 = 62W

2W^2 - 62W + 396 = 0

W^2 - 31W + 198 = 0

(w - 22)(W - 9) = 0

so W = 22 or 9.

when W = 22 . L = 198/W = 9

As L is the longest side L = 22 and W = 9m.