Question

The perimeter of a rectangular paper sheet is 42 cm and the diagonal of the rectangle is equal to 3 cm less than twice its breadth.

Answer 1

Answer:

Perimeter of rectanular sheet = 2 ( l + b)

42 = 2 (l+b)

21 = (l+b) ........ (1)

Step-by-step explanation:

let breadth is x

then diagonal = 2x-3

by PGT

(DIAGONAL) ^2 = L^2 + B^2

(2x-3)^2 = (21-x) ^2 + x^2

4x^2 - 12 x + 9 = 441 +x^2 -42x +x^2

2x^2 +30 x - 432=0

2( x^2 +15 x -2 1 6)=0

x^2 +15 x- 216=0

solve quadratic find value of x is breadth