137k views
4 votes
A rectangular lot is 3 meters longer than its width. The area of the lot is 88 square

meters. Find the length of the lot.

User Yasen
by
5.6k points

1 Answer

4 votes

Answer:

11m(meters)

Explanation:

A rectangular lot is 3 meters longer than its width. The area of the lot is 88 square

meters. Find the length of the lot.

Area of a rectangle = Length × Width

Length = 3 + W

Hence,

88m² = (3 + W) × W

88 = 3W + W²

W² + 3W - 88 = 0

We factorise

W² +11W - 8W - 88 = 0

W(W + 11) - 8(W + 11) = 0

(W - 8) (W + 11) = 0

W - 8 = 0

W = 8m

Hence, the width = 8m

Length = 3 + W

Length = 3 + 8m

= 11m(meters)

User Tkotisis
by
5.5k points