High School

A rectangle has a circumference of 72 cm. If you reduce the width by 6 cm and keep the same length, the area will decrease by 120 cm\(^2\). Calculate the length and width of the rectangle. Provide a detailed solution.

Answer :

Answer

the length is 20 cm and breadth is 16cm

Step-by-step explanation:

let, 2(a+b)= 72( as its the formulae of circumference)

here a is the length and b is the breadth

now total area is ab

according to the question

a(b-6)= ab-120

or -6a= - 120

so length is 20 cm

now by putting the value in the 1st eq we get

2(a+b)=72

or(a+b)=36

or 20+b=36

so breadth is 16 cm.

length is 20cm and breadth is 16 cm

(u can verify that easily)

thank u

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