The perimeters of two squares are 120 cm and 64 cm. Find the perimeter of the square whose area is equal to the sum of the areas of these two squares.

Given: The perimeters of two squares are 120 cm and 64 cm. Let a be the side of the square. As we know that perimeter of the square = 4 x side ⇒ 4 x a = 120 ⇒ a = ⇒ a = 30 cm The perimeter of square is 64 cm. Let b be the side of the square. As we know that perimeter of the square = 4 x side ⇒ 4 x b = 64 ⇒ a = ⇒ a = 16 cm It is given that area of third square = the sum of the areas of these two squares Let R be the side of the square. As we know that area of the square = side 2 ⇒ R 2 = 30 2 \+ 16 2 ⇒ R 2 = 900 \+ 256 ⇒ R 2 = 1156 ⇒ R = ⇒ R = 34 cm Perimeter of third square = 4 x 34 cm = 136 cm Hence, the perimeter of the square is 136 cm.

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Mathematics

The perimeters of two squares are 120 cm and 64 cm. Find the perimeter of the square whose area is equal to the sum of the areas of these two squares.

Area Trapezium Polygon

Related Questions

Find the circumference of a circle whose area is 1386 cm².

A copper wire when bent in the form of a square encloses an area of 484 cm². When the same wire is bent in the form of a circle, find the area of the circle formed.

Find the perimeter of a square whose area is equal to half the sum of areas of three squares with sides 3 cm, 4 cm and 5 cm.

If the diameter of a car wheel is 28 cm, how many times will the wheel rotate in a journey of 11 km ?

Mathematics

The perimeters of two squares are 120 cm and 64 cm. Find the perimeter of the square whose area is equal to the sum of the areas of these two squares.

Area Trapezium Polygon

Related Questions

Find the circumference of a circle whose area is 1386 cm2.

A copper wire when bent in the form of a square encloses an area of 484 cm2. When the same wire is bent in the form of a circle, find the area of the circle formed.

Find the perimeter of a square whose area is equal to half the sum of areas of three squares with sides 3 cm, 4 cm and 5 cm.

If the diameter of a car wheel is 28 cm, how many times will the wheel rotate in a journey of 11 km ?

Find the circumference of a circle whose area is 1386 cm².

A copper wire when bent in the form of a square encloses an area of 484 cm². When the same wire is bent in the form of a circle, find the area of the circle formed.