Question

10. 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

Answer:

length = 26.5 cm

breadth = 21.5 cm

Step-by-step explanation:

Step 1 of 3:

Let length of rectangle = $l$ ; breadth of rectangle = $b$

Length of rectangle = breadth of rectangle + 5

$l=b+5$

The formula to find perimeter of rectangle:

$=2(length+breadth)\\\\=2(l+b)$

Since perimeter of rectangle = 96 cm

$96=2(l+b)$

Step 2 of 3:

Now substitute given length and breadth in formula.

$96=2(l+b)\\96=2(b+5+b)\\96=2(2b+5)\\96=4b+10\\4b=96-10\\4b=86\\b=\frac{86}{4}\\b=21.5$

Step 3 of 3:

Substitute $b=21.5$ in $l=b+5$ and solve for $l$.

$l=b+5\\l=21.5+5\\l=26.5$

Hence,

length = 26.5 cm

breadth = 21.5 cm