1.

If the area of a square A has area 24 cm2, then what is the area of another square B having diagonal two-third of the diagonal of A?1). 26 cm22). 42.5cm23). 32/3 cm24). 38.6 cm2

Answer»

SOLUTION:

Given: Area of square A = 24 sq.cm

To find : Area of square B = ?

Let us take the side of square A as 'a' and square B as 'b'.

So, a²= 24 sq.cm

a = √24

a = 2√6 cm.

It is given that,

Diagonal of square B = two-third of the diagonal of square A 

We KNOW that diagonal of a square = √2 of side of a square

So, √2 (b) = (⅔)√2 (a)

b = (⅔) a 

SUBSTITUTING the value of a in here we have 

b = ⅔ ( 2√6 )

b = ( 2 × 2√2 √3 ) / (√3 √3)

b = (4 √2)/√3 cm 

Area of square B = b² cm²

Area of square B =[(4 √2)/√3]² cm²

Area of square B = (16×2) / 3 cm²

Area of square B = 32/3 cm²

So,the correct option is 3). 32/3 cm²



Discussion

No Comment Found

Related InterviewSolutions