Find the area and perimeter of a square plot of land whose diagonal is 15 m. Give your answer correct to two decimal places.
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Question

Find the area and perimeter of a square plot of land whose diagonal is 15 m. Give your answer correct to two decimal places.

KnowledgeBoat · Accepted Answer

Given: Diagonal of the square = 15 m Let 'a' be the length of side of the square. Using the Pythagoras theorem in square, ⇒ Diagonal2 = side2 + side2 ⇒ 152 = 2 × side2 ⇒ 225 = 2 × a2 ⇒ a2 = ⇒ a2 = 112.5 ⇒ a = = 10.606 m. Area of square = side2 = a2 = 112.50 m2. Perimeter = 4 × side = 4 × 10.606 = 42.42 42.42 m. Hence, area = 112.50 m2 and perimeter = 42.42 m.

Mathematics

Find the area and perimeter of a square plot of land whose diagonal is 15 m. Give your answer correct to two decimal places.

Mensuration

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Mathematics

Find the area and perimeter of a square plot of land whose diagonal is 15 m. Give your answer correct to two decimal places.

Mensuration

Related Questions

Find the length of a diagonal of a square of area 200 cm2.

The area of a square field is 8 hectare. How long would a man take to cross it diagonally by walking at the rate of 4 kmph?

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