Question

9 What dimensions do we need a rectangular

lot to be in order to get an area of
2700 metres squared and for the length to
be 60 metres longer than the width?

Answer 1

W=30m L=90m

Explanation:

A =2,700 m²

L=W+60

we know that area of a rectangle is A=L*W so we sustitute what we know

A=L*W

2,700 = (W+60)*W distribute

2,700 = W² +60W subtract 2,700 from both sides

W²+60W-2,700 =0

solve the quadratic equation with quadratic formula or on the calculator on the graph and will get W= -90 and W=30. Reject the -90 value because we can not have negative measurements. Our solution is W=30

L=A/W=2,700/30=90