Question

Kindly solve it step by step

Answer 1

area of shaded part = area of greater rec. - area of small rec.
112 = { 12 × 11} - {(11-x) (12-x)}
112 = 132 - { 132-11x-12x+x^2}
-20 = -{ x^2- 23x+132}
20= x^2-23x+132

solve dis and get ur suitable answer

Answer 2

Given figure is a rectangle.

So, 12 cm = x + a [ let a = remaining part of side parallel to 12 cm side ]

a = 12 - x

Similarly, 11 = x + b [ let b = remaining part of side parallel to 11 cm side]

b = 11 - x

Area of whole rectangle = l * b = 12 × 11 = 132 cm^2

Area of unshaded rectangle = a * b cm^2

= ( 12 - x ) ( 11 - x ) cm^2

Area of shaded portion = 112 cm^2

AREA of shaded portion = Area of whole rectangle - Area of unshaded rectangle

112 = 132 - ( 132 - 12x - 11x +x^2 )

112 = 132 - 132 + 12x +11x - x^2

x^2 - 23x + 112 = 0

X^2 - 16x - 7x + 112 = 0

x ( x - 16 ) - 7 ( x - 16 ) = 0

( x - 7 ) ( x - 16 ) = 0

$<h4>x = 7, 16$

x is either 7 or 16.