Question

The length of the rectangle exceed the breath by 8 cm find the area of the ractangle if its perimeter is 180 cm

Answer 1

Answer:

2009 cm²...

Step-by-step explanation:

Let the breadth be b. If length is l, then, l = b+8

Perimeter = 2(l+b) = 2(b+b+8) = 2(2b+8) = 4b + 16

But, given perimeter = 180 cm

Thus, 180 = 4b+16

4b = 180-16 = 164

b = 164/4 = 41 cm

And, l = b + 8 = 41 + 8 = 49 cm

Thus, area = l*b = 41*49 = 2009 cm²