## Length of rectangle is 7cm more than its breadth if perimeter of the rectangle is 74 cm find its area

Question

Length of rectangle is 7cm more than its breadth if perimeter of the rectangle is 74 cm find its area

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1 month 2021-08-17T07:56:29+00:00 2 Answers 0 views 0

Area = 210 cm²

Step-by-step explanation:

Length=7 cm

Perimeter= 74 cm

So, P = 2(L+B)

=> P/2 – L = B

=> 74/2 – 7 = B

=> 37-7 = B

=> B = 30 cm

Area = L×B

= 7 × 30

= 210 cm²

Step-by-step explanation:

let the length and breadth of the rectangle be x and y

according to the question,

x = 7 + y—–(1)

perimeter = 74 (given)

perimeter = 2 (l + b )

74 = 2 ( x + y ) —–(2)

put eqn (1) in eqn (2)

74 = 2 ( 7 + y + y )

74 = 2( 7 + 2y )

74 = 14 + 4y

4y = 74 – 14

4y = 60

y = 60/4

y = 15 cm

substitute y value in eqn (1) to obtain x value

x = 7 + 15

x = 22cm

so the values of length and breadth are 22cm and 15 cm respectively

area of rectangle = length x breadth

so : 22 x 15

330cm²

SO THE AREA OF RECTANGLE IS 330CM²