In the adjoining figure, A, B and C are squares. If the area of the square A is 25 sq. cm and the perimeter of the square B is 12 cm, then find the perimeter and the area of the square C.
Mensuration
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Question

In the adjoining figure, A, B and C are squares. If the area of the square A is 25 sq. cm and the perimeter of the square B is 12 cm, then find the perimeter and the area of the square C.

KnowledgeBoat · Accepted Answer

Given: Area of square A = 25 sq. cm Perimeter of square B = 12 cm For square A: Area of square = side × side ⇒ 25 = side × side ⇒ side2 = 25 ⇒ side = ⇒ side of A = 5 cm For square B: Perimeter of square = 4 × side ⇒ 12 = 4 × side ⇒ side = ⇒ side of B = 3 cm From the figure, side of square C = side of A + side of B = 5 + 3 = 8 cm Perimeter of square C = 4 × side = 4 × 8 = 32 cm Area of square C = side × side = 8 × 8 = 64 sq. cm Hence, the perimeter of square C is 32 cm and the area is 64 sq. cm.

Mathematics

In the adjoining figure, A, B and C are squares. If the area of the square A is 25 sq. cm and the perimeter of the square B is 12 cm, then find the perimeter and the area of the square C.

Mensuration

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Mathematics

In the adjoining figure, A, B and C are squares. If the area of the square A is 25 sq. cm and the perimeter of the square B is 12 cm, then find the perimeter and the area of the square C.

Mensuration

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(i) maximum?
(ii) minimum?

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(i) Find the missing measurements.
(ii) Find out the total area of the house (including the Garden).