Question

One side of a rectangle is 21cm longer than the other. The diagonal is longer still by 6cm .find the area of the rectangle?

Answer 1

Answer:

1080 cm²

Step-by-step explanation:

Rectangle one side = x

Another Side = x+21

Diagonal = x=21+6 = x+27

(x+27)² = x² + (x+21)²

Solving this we get

x²-12x-288=0

(x-24)(x+12)=0

so x = 24   as x can not be negative

Area of rectangle will be 24*45 = 1080 cm²

Answer 2

Answer:

1080 cm²

Step-by-step explanation:

let one side be = x

another side = x + 21

diagonal = x + 21 +6

= x + 27

(x²+27)² = x²+(x+21)²

solving the equation,

x²- 12x - 288

(x - 24) (x + 12)

x = 24 , x = -12 (rejected)

•x = 24

•area of rectangle = 24×25

= 1080 cm²