Math Question #3

Question

The length of a rectangle is 4 yards more than its width. The area of the rectangle is 60 square yards. Find the dimensions of the rectangle.

Answer 1

Area=l*w

60=l*w

l=w+4 substitute the 2nd equation into the first one.

60=w(w+4) multiply

60=w²+4w subtract 60 from each side to set it equal to zero.

60-60=w²+4w-60

0=w²+4w-60 factor

(w+10)(w-6)=0 Solve for w

w+10=0 subtract 10 from both sides

w+10-10=-10

w=-10 The width cannot be negative so this cannot be the solution. It is extraneous.

w-6=0 add six to both sides

w-6+6=6

w=6 The width equals 6 yards. Substitute to get the length. l=w+4

l=6+4. l=10. The length is 10 yards.

The answer is the width is 6 yards and the length is 10 yards.