Question

5 The area of square is 4/3 that of triangle. If area of square is 1024 square.cm. and breadth of rectangle is 12cm the what is the difference between length of the rectangle and side of the square? ​

Answer 1

Answer:

If area of square is 4/3 that of rectangle and the area of suare is given as 1024 square.cm and breadth of rectangle as 12 cm , then the difference between length of rectangle and side of square is 32 cm

Step-by-step explanation:

Given the area of square is 4/3 that of triangle.

Given area of square is 1024 square.cm

Let x be the area of rectangle

Then $\frac{4}{3}$x= 1024 square.cm

x=$\frac{1024*3}{4}$

= 768 square.cm

So area of rectangle is 768 square.cm

Given breadth of rectangle= 12 cm

Area of rectangle = l × b

Where l is length and b is breadth

That is 768 square .cm = l × 12

l = $\frac{768}{12}$

=64 cm

Therefore length of rectangle is 64 cm

Given area of square = 1024 suare.cm

Area of square = side × side

Let x be the length of side of square then

$x^{2}$ = 1024

x= $\sqrt{1024}$

=32 cm

Therefore side of the square = 32 cm

Hence the difference between length of rectangle and side of square = 64cm - 32 cm

= 32 cm