Question

the length of a rectangle is 5 cm more than its breadth if the perimeter of the rectangle is 96 cm find the length and breadth of the rectangle​

Answer 1

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore Length=26.5\:cm}}$

${\bold{\therefore Breadth = 21.5 \:cm}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

• In the given question information given about the length of a rectangle is 5 cm more than its breadth if the perimeter of the rectangle is 96 cm.

• We have to find the length and breadth of the rectangle.

$\bold{ Assume : } \\ \implies Let \: Breadth = x \: cm \\ \\ \implies Length = (x + 5) \: cm \\ \\ \underline \bold{given :} \\ \implies Perimeter \: of \: rectangle = 96 \: cm \\ \\ \underline \bold{To \: Find:} \\ \implies Length = ? \\ \\ \implies Breadth = ?$

• According to given question :

$\bold{Using \: formula \: of \: Perimeter \: of \: rectangle : } \\ \implies Perimeter \: of \: rectangle = 2(l + b) \\ \\ \implies 96 = 2(x + 5 + x) \\ \\ \implies \frac{ \cancel{96}}{ \cancel2} = 2x + 5 \\ \\ \implies 48 - 5 = 2x \\ \\ \implies 2x = 43 \\ \\ \implies x = \frac{43}{2} \\ \\ \bold{\implies x = 21.5 } \\ \\ \bold{\therefore Length = x + 5 = 26.5 \: cm} \\ \\ \bold{\therefore Breadth = x= 21.5 \: cm}$

Answer 2

Answer:

• Length = 26.5 cm

• Breadth = 21.5 cm

step-by-step explanation

□ Let breadth = x cm

□ Length = (x+5) cm

○ Given:

□ perimter of rectangle = 96 cm

$\to perimeter \: of \: rectangle = 2(l + b) \\ \\ \to 96 = 2(x + 8 + x) \\ \\ \to 48 = 2x + 8 \\ \\ \to 2x = 43 \\ \\ \to x = \frac{43}{2} \\ \\ \to x = 21.5 \: cm \\ \\ \bold{ \therefore length = 26.5 \: cm} \\ \bold{ \therefore breadth = 21.5 \: cm}$