Answer:
11m(meters)
Step-by-step 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)
