Question

The perimeter of a rectangle is 40cm. If its length of the rectangle is 4cm less than 5 times its breadth, Evaluate the length and breadth of the rectangle?

Answer 1

Answer:

Given :-

• Perimeter = 40 cm
• Length is 4 cm less than 5 times of breadth

To Find :-

Length and Breadth

Solution :-

Let the breadth be x cm.

Length = (5 × x) - 4 = 5x - 4

$\sf \: 40 = 2 \bigg((5x - 4) + x \bigg)$

$\sf \: 40 = 2(5x - 4 + x)$

$\sf \: 40 = 10x - 8 + 2x$

$\sf \: 40 + 8 = 10x + 2x$

$\sf \: 48 = 10x + 2x$

$\sf \: 48 = 12x$

$\sf \: x \: = \cancel\dfrac{48}{12}$

$\frak \red{x = 4}$

Now,

$\sf \pink{Breadth = 4 \: cm}$

$\sf \pink{Length \ = 5(4) - 4 = 20 - 4 = 16 \: cm }$

Answer 2

Answer:

breadth=4

length=16

Step-by-step explanation:

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