Question

The area of a square is 1 sq. m more than ½ of Area of a rectangle. If the area of the
square is 55 sq. m, then find the dimensions of the rectangle given breadth is ¾ times
length.

Answer 1

Answer:

2√15/5m

Step-by-step explanation:

Let the length of rectangle be X,

Now,

Breadth = 2/5x.

Area of rectangle =l*b

=x*2/5x=2x^2/5.

So,

Area of square = 4+2/3*2x^2/5

64x^2/15=64

x=√15m^2.

Now,

length =√15m

breadth =2/5*√15

=2√15/5m.