Question

The ratio of the perimeter of a rectangle to the perimeter of a square is 5:4. If the length of the rectangle is 18 cm and its breadth is 12 cm, what is the length of each side of the square?
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Answer 1

Solution

Given :-

• The ratio of the perimeter of a rectangle & perimeter of a square is 5:4.
• If the length of the rectangle is 18 cm and its breadth is 12 cm

Find :-

• Length of square

Evaluation:-

Using Formula

$\star{\boxed{\green{\tt{\: Perimeter_{rectangle}\:=\:2(\:Lenght\:+\:Breadth)}}}}$

$\star{\boxed{\orange{\tt{\: Perimeter_{square}\:=\:4\:×\:Side}}}}$

First Calculator Perimeter of rectangle,

==> Perimeter of rectangle = 2(18 + 12)

==> Perimeter of rectangle = 2 × 30

==> Perimeter of rectangle = 60 cm.

Now, According to question

( The ratio of the perimeter of a rectangle & perimeter of a square is 5:4 )

==> (Perimeter of rectangle)/(perimeter of square) = 5/4

Where,

• Perimeter of rectangle = 60 cm

Then,

==> 60/(4×Side) = 5/4

==> 4 × Side = 60 × 4/5

==> Side = (60 × 4)/(5 × 4)

==> Side = 12 cm

Hence

• Side of Square will be = 12 cm.

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