Question

The length of a rectangle is 4cm more than its breadtlı. Its area is 192 square
centimetres. Find its length.
(a) 12 cm
(b) 14 cm
(C) 16 cm
(d) 18 cm​

Answer 1

Step-by-step explanation:

L=4cm

LET BREADTH=x

AREA OF RECTANGLE=L×B

192cm² = 4cm×B

192/4=B

48=B(ANSWER)

PLEASE MARK AS BRANLIEST

Answer 2

☞Question.

The length of a rectangle is 4cm more than its breadtlı. Its area is 192 square

centimetres. Find its length.

☞Solution.

let breadth be 'x'

than length is ( x + 4 )

$\sf\red{rectangle's\: area = length × breadth.}$

→length = ( x + 4 )

→breadth = X

➝ $\sf\green{ X × ( X +4 ) = 192}$

➝ $\sf\green{ x^2 +4x = 192}$

➝ $\sf\green{ x^2 + 4x - 192 = 0}$

➝ $\sf\green{ x^2 + 16x- 12x - 192}$

➝ $\sf\green{ x ( x + 16 ) - 12 ( x - 16 )}$

➝ $\sf\green{ ( x + 16 ) ( x - 12 )}$

☞, length of rectangle x is $\sf\green{ 12}$

☞and breadth is( x + 4 ) is $\sf\green{ 12+4 = 16}$

☞so, option $\sf\red{ c}$