Find the area and perimeter of a square plot of land, the length of whose diagonal is 15 metres. Give your answer correct to 2 places of decimals.
Mensuration
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Find the area and perimeter of a square plot of land, the length of whose diagonal is 15 metres. Give your answer correct to 2 places of decimals.

KnowledgeBoat · Accepted Answer

Given: Diagonal of the square = 15 m Let `a` be the length of side of the square. Using the Pythagoras theorem for a square, ⇒ Side² \+ Side² = Diagonal² ⇒ 2 x Side² = Diagonal² ⇒ 2 x a² = 15² ⇒ 2a² = 225 ⇒ a² = ⇒ a² = 112.5 ⇒ a = ⇒ a = 10.61 m Area of square = side² = 10.61² m² = 112.5 m² Perimeter of square = 4 x side = 4 x 10.60 m = 42.43 m Hence, the area of the square plot is 112.5 m² and the perimeter is 42.43 m.

Mathematics

Find the area and perimeter of a square plot of land, the length of whose diagonal is 15 metres. Give your answer correct to 2 places of decimals.

Mensuration

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Mathematics

Find the area and perimeter of a square plot of land, the length of whose diagonal is 15 metres. Give your answer correct to 2 places of decimals.

Mensuration

Related Questions

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A floor which measures 15 m x 8 m is to be laid with tiles measuring 50 cm x 25 cm. Find the number of tiles required.Further, if a carpet is laid on the floor so that a space of 1 m exists between its edges and the edges of the floor, what fraction of the floor is left uncovered.

The shaded region of the given diagram represents the lawn in the form of a house. On the three sides of the lawn there are flower-beds having a uniform width of 2 m.
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