Question

6] The length of a rectangle is twice its
breadth. The perimeter of the rectangle is
30m. Find the length & the breadth. *
O
(a) Length = 10m, Breadth = 5m
O (b) Length = 5m , Breadth = 10m
O
(c) Length = 7m, Breadth = 5m
(d) Length = 5m , Breadth = 3m​

Answer 1

Answer:

✳Length of the rectangle  = 10m .

✳Breadth of the rectangle = 5m.

SOLUTION

Given

The perimeter of the rectangle is 30m.

Also , given that length of the rectangle is twice its breadth.

To Find

Find the length & the breadth of the rectangle .

ANSWER

Let us Assume that the breadth of the rectangle is 'x' cm.

∵ Length is twice the breadth of the rectangle.

$\implies$

Length of the rectangle = 2x $\longrightarrow$(1)

Perimeter of a Rectangle =  2 (l+b)

Here,

Perimeter = 30m.

Substituting ,

l = 2x

b = x

$\implies$

30 = 2(2x+x)

$\implies$

30 = 4x + 2x

$\implies$

30 = 6x

$\implies$

$\sf x = \dfrac{30}{6}$

$\implies$

x = 5m.

Breadth of the rectangle (x) = 5m.

From (1) ,

Length of the rectangle = Twice the Breadth of the rectangle

$\implies$

Length = 2 × 5

$\implies$

Length = 10m.