Question

square building is surrounded by a flower bed 1.25 m wide .if the area of the flower bed is 46.25 square metre ,what is area of the building​

Answer 1

Step-by-step explanation:

Let x bet the measure of the square side of the building. Since the flowerbed is 1.25 m wide, the measure of the side of the bigger square enclosing the building is x + 2*1.25 = x+2.5.

==> %28x%2B2.5%29%5E2+-+x%5E2+=+46.25

==> x%5E2%2B5x+%2B+6.25+-+x%5E2+=+46.25

==> 5x + 6.25 = 46.25

==> 5x = 40 ==> x = 8 m.

Therefore the area of the building is 64 sq.m.