Question

A wire in the form of a circle of diameter 35cm is bent to form a rectangle whose length is twice its breadth.find the area of a rectangle

Answer 1

Answer:

The are of the rectangle is 672.2 cm².

Step-by-step explanation:

Consider the provided information.

A wire in the form of a circle of diameter 35cm.

Circumference of circle is: $=\pi d=35\pi=110cm$

Perimeter of rectangle is: 2(L+B)

Where L is length and B is breadth.

It is given that the length is twice its breadth, thus L = 2B

It is given that the wire in the form of a circle is bent to form a rectangle whose length is twice its breadth.

That means the perimeter of rectangle is equal to the circumference.

110=2(L+B)

Substitute the value of L in above.

55=2B+B

55/3=B

Thus the L = 2B = 110/3

Now calculate the area of the rectangle by using the formula.

Area of rectangle = L×B

Area of rectangle = 55/3 × 110/3 = 6050/9

Area of rectangle ≈ 672.2

Hence, the are of the rectangle is 672.2 cm².