Question

Perimeter of a square and a rectangle is same. If a side of the square is 15 cm and one side of the rectangle is 18 cm, find the area of the rectangle. Please give full explanation.​

Answer 1

Question :

Perimeter of a square and a rectangle is same. If a side of the square is 15 cm and one side of the rectangle is 18 cm, find the area of the rectangle. Please give full explanation.

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Answer :

Given :

★Side of square = 15cm

★One side of a rectangle = 18cm

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To find :

Area of the rectangle

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Formula used :

Perimeter of a square = 4×a

perimeter of rectangle = 2(l+b)

Area of rectangle = l×b

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Solution :

We know that , as per question

Perimeter of a square = Perimeter of a rectangle

$\large\green{4(a) = 2(l+b)}$

$\large\orange{4×15 = 2×(18+b)}$

$\large\orange{60 = 2×(18+b)}$

$\orange{\dfrac{\cancel{60}}{\cancel2} = 18+b}$

$\large\orange{30 = 18+b}$

$\large\orange{b = 30 - 18}$

$\large\red{\boxed{b = 12 cm}}$

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Now,

Area of a rectangular blog = Length × Breadth

$\large\orange{(18×12)}$

$\large\red{\boxed{216cm²}}$

[Hope this helps you.../]