Question

Question 22

Fill in the blanks to make the statement true.
The length of a rectangle is two times its breadth. Its perimeter is 60 cm.

(a) If the breadth of the rectangle is x cm, the length of the rectangle is ..............
(b) Perimeter in terms of x is ..............
(c) The equation formed is .............
(d) The solution of the equation is .............

Answer 1

(a) It is given that the length of the rectangle is two times its breadth.
$\therefore$ Length = 2x cm.

(b) Perimeter of rectangle = 2(Length + Breadth) = 2(2x + x)

(c) As we are given that perimeter of rectangle is 60 cm.
So, the equation formed is 2(2x + x) = 60
$\to 2\left(3x\right)=60\to 6x=60$

(d) On dividing the equation by 6, we get
$\frac{6x}{6}=\frac{60}{6}\to x=10$
Hence, the solution of the equation is 10.