Question

Fill in the blank 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 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

Step 1: Find the length​
Given: Breadth of the rectangle = x
Length of the rectangle = Two times the breadth
= 2x
Hence, the length of the rectangle is 2x.
Step 2: Find the perimeter
Perimeter of the rectangle = 2(length + breadth)
$=2(2x+x)$
$=2\times 3x$
$=6x$
Hence, perimeter in terms of x is 6x.
Step 3: Find the equation
Perimeter of the rectangle = 60 cm
$\Rightarrow 6x=60$
Hence, the equation formed is $6x=60$
Step 4: Find the solution
$6x=60$
$\Rightarrow x=\frac{60}{6}$
$\Rightarrow x=10$
Hence, the solution of the equation is 10.