Question

Christopher and Sophia bought a store to start a new cake shop. The store has an area of 75 square meters. The length of the store is 10 meters more than its width. What is the length of the store?

Answer 1

Explanation

Length=(width+10)

Area=75m

Area=length x width

75= W(W+10)

75=W^2+10W

W^2+10W-75=0

W^2+15W-5W-75=0

W(W+5)-5(W+15)

(W-5)(W+15)

W-5=0 OR W+15=0

W=5 OR W=-15

width cannot be negative hence

WIDTH= 5metres

Note