Question

the length of the rectangle is 5 cm more than twice its breadth . if the perimeter of the rectangle is 52cm . find it's length and breadth​

Answer 1

Answer:

Length =19cm

Breadth =7cm

Step-by-step explanation:

Let length of breadth be x

2x+5=Length

Perimeter =52cm

2(l+b)=52cm

2(2x+5+x)=52

2x+5+x=52÷2

2x+5+x=26

2x+x=26-5

2x+x=21

3x=21

x=21÷3

x=7

Breadth =7cm

Length=2x+5

=2×7+5

=14+5

=19cm

Length =19cm

Answer 2

• Let the breadth be x
• So, length = 2x + 5

Perimeter of rectangle = 2 (l + b)

$\: \: \: \: : \implies \: 52 \: cm = \: 2(2x + 5 + x)$

$\: \: \: \: : \implies \: 26 \: cm = \: 3x + 5$

$\: \: \: \: : \implies \: 21 \: cm = 3x$

$\: \: \: \: : \implies \: x = \cancel\frac{21}{3}^{7}$

$\: \: \: \: : \implies \fbox {x = 7 \: cm}$

$\sf \purple{Hence, \: Breadth = 7 cm}$

$\sf \green{and \: Length = 2x + 5 = \: 2 \times 7 + 5 = 19 \: cm}$