Question

A rectangular

plot of ground is 30 meters longer than it is wide. its area is 15,000 square meters

Answer 1

A = length x width

15,000 = (w + 30) x w
15,000 =
`w^(2)` + 30w
0 =
`w^(2)` + 30w - 15,000

Use quadratic formula to find that w= -15 + or - 5
`√(609)`. Because distance cannot be negative, the width is -15 + 5
`√(609)`meters or approximately 108.39 meters. This means that the length is approximately 138.39 meters.