Question

The length of a rectangle is greater than the breadth by 3cm .If the length is increased by 9cm and the breadth is reduced by 5cm,the area remains the same. Find the dimensions of the rectangle

Answer 1

Answer:

Let the length and breadth be L and B. L B+18

Area LB A or

A B(B+18) B 2+18B..(1)

(B+6)(B+24) A+168 2)

(B+6) (B+24) B 2+18B+168, or

B^2+ 18B+168, or

BA2+30B+144

12B 24, or

B 2 and L 20

Check: LB- 2*20 40

(L+6)(B+6) 26*8-208 which is 208-40 168

more than the original area. Correct

L 20 cm and B 2 cm