Question

1) The sides of two squares are 2.4 and 1.8 metres long respectively. Find thr side of new square equal to the sum of the two squares in area.

2) Ahmed lent Amir Rs. 8000 at simple interest for 3 years at the rate of 5% per annum. How much more would he have gained had he it at compound interest?

Answer 1

the side of the square is 3 metres

Answer 2

Concept

A square is a quadrilateral with equal sides and whose area is equal to the square of its side.

Given

2 squares with sides 2.4m and 1.8m

Find

We have to find the side of a new square whose area is equal to the sum of the given two squares

Solution

Area of 1st square will be-

2.4 * 2.4 = 5.76

Area of 2nd square will be-

1.8 * 1.8 = 3.24

Thus, the area of the new square will be-

5.76 + 3.24 = 9m

Therefore,

$side^{2}$ = 9

⇒ side = 3

Thus, the side of the new square will be 3m.

#SPJ2