Question

A rectangle has an area of 342 square meters. The width is 2 more than 4 time the length. Find the length and width, in meters of the rectangle

Answer 1

• length: 9 m
• width: 38 m

Explanation:

Let x represent the length of the rectangle. The the width is (4x+2) and the area is ...

x(4x+2) = 342

2x² +x - 171 = 0 . . . . . divide by 2, rearrange to standard form

(2x +19)(x -9) = 0 . . . factor

x = -19/2 or +9 . . . . . the length is the positive solution: 9

(4x+2) = 4(9) +2 = 38 . . . . find the width from the length

The length of the rectangle is 9 meters. The width is 38 meters.