Question

The length and width of a rectangle are consecutive odd integers. The area of the rectangle is 323 square inches. Find the length and width of the rectangle.

Answer 1

Answer: length is 19 inches

width is 17 inches

Explanation:

Let the length and the width are x>0 and (x+2)>0

Hence,

x(x+2)=323

x²+2x=323

x²+2x-323=0

x²+(19x-17x)-323=0

(x²+19x)-(17x+323)=0

x(x+19)-17(x+19)=0

(x+19(x-7)=0

x+19=0

x=-19∉ (x>0)

x-17=0

x=17 inches

x+2=17+2

x+2=19 inches

Answer 2

Answer:17cm x 19cm

Explanation: