Question

The length of the rug was 6 feet more than the width. The area was 280

f. Find the length and the width.

Answer 1

Width = 14ft Length = 20ft

Explanation:

Area (A) of rug (having rectangular shape) = L× W A =
`280ft^(2)`

but Length is 6ft more than width, this means L = (6 + W)ft

∴ 280 = (6+W)×W

280 = 6W +
`W^(2)`

solving the equation as a quadratic equation;
`W^(2) + 6W - 280 = 0`

(W - 14) (W + 20) = 0

W = 14 or W = -20 but W ≠ negative

∴ Width (W) = 14ft

Length = 6 + 14

= 20ft