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Mensuration | Mensuration Exercise 16.2

Question 15

A rectangle has twice the area of a square. The length of the rectangle is 12 cm greater and the width is

8 cm greater than 2 side of a square. Find the perimeter of the square.

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Consider

Side of a square = x cm

Length of rectangle = (x + 12) cm

Breadth of rectangle = (x + 8) cm

We know that

Here

x + 4 = 0 or x – 24 = 0

x = -4 or x = 24 cm

Side of square = 24 cm

The perimeter of square = 4 × side

Substituting the values

= 4 × 24

= 96 cm

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Our top 5% students will be awarded a special scholarship to Lido.

subject-cta

Question 15

A rectangle has twice the area of a square. The length of the rectangle is 12 cm greater and the width is

8 cm greater than 2 side of a square. Find the perimeter of the square.

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Consider

Side of a square = x cm

Length of rectangle = (x + 12) cm

Breadth of rectangle = (x + 8) cm

We know that

Here

x + 4 = 0 or x – 24 = 0

x = -4 or x = 24 cm

Side of square = 24 cm

The perimeter of square = 4 × side

Substituting the values

= 4 × 24

= 96 cm

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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