Question

Find the value of x if a rectangle’s length is (x+4) cm, its breadth is (x+2) cm, and its perimeter is 20 cm. x = ?

Answer 1

To find the value of x for a rectangle with a length of (x + 4) cm, a breadth of (x + 2) cm, and a perimeter of 20 cm, you can use the formula for the perimeter of a rectangle, which is:

Perimeter = 2(length + breadth)

Given that the perimeter is 20 cm, you can set up the equation:

20 = 2((x + 4) + (x + 2))

Now, simplify and solve for x:

20 = 2(2x + 6)

Divide both sides by 2:

10 = 2x + 6

Subtract 6 from both sides:

10 - 6 = 2x

4 = 2x

Now, divide both sides by 2 to isolate x:

4/2 = 2x/2

2 = x

So, the value of x is 2 cm.

Explanation: