What will be the perimeter of a square whose area is equal to area of the given triangle ?

Open in App

Solution

Area of the given triangle
= Half of the rectangle enclosing the given triangle

Area of the rectangle = 9 cm x 8 cm
= 72 sq.cm

Area of the triangle = Half of the 72 sq.cm
= 72 $\div$ 2
= 36 sq.cm

Therefore,
Area of the square = 36 sq.cm
side x side = 36 sq.cm
side = 6 cm

Perimeter of the square = 4 x side
= 4 x 6 cm
= 24 cm

Suggest Corrections

Similar questions

Q. The apothem of a square having its area numerically equal to its perimeter is compared with the apothem of an equilateral triangle having its area numerically equal to its perimeter. The first apothem will be:

Q. If the perimeter of a square is equal to its area, what will be its area(in sq. units)?

Q. What is the perimeter of a square whose area is equal to that of a circle with perimeter

2 π x

Q. The perimeter of an equilateral triangle is equal to that of a square.If the area of the triangle is

16 \sqrt{3} {c m}^{2}

. what is the area of the square (in sq cm)?

The area of square field is 5184 meter square find the area of rectangular field whose perimeter is equal to the perimeter of the square field and whose length is twice of its breadth

Join BYJU'S Learning Program