The perimeter of a rectangle is 135 cm. If the breadth of a rectangle is 35 cm, then find the length and area of a rectangle.

Given, 

The perimeter of a rectangle = 135 cm. 

The breadth of a rectangle = 35 cm.

Let 'l' be the length of a rectangle.

The perimeter of a rectangle = 2 (length + breadth) 

2 (length + breadth) = 135

(length + 35) = $\frac{135}{2}$

length + 35 = 67.5 cm

length (l) = 67.5 − 35 = 32.5 cm

Therefore, the area of a rectangle = length × breadth = 32.5 × 35 = 1137.5 cm².