Question

One increasing each side of a square by 25% the increase in area will be

Answer 1

Answer:

56.25%

Step-by-step explanation:

Let before increase the side was 100.

Than area before increase will be = 100² = 10000

Now lets increase each side by 25%.

New sides will be 125.

And new Area will be = 125² = 15625

Now lets find out % increase

Percent Increase = $\frac{5625}{10000} *100$ = 56.25%

Answer 2

Answer:

x^2/16 + x/2

Step-by-step explanation:

let x be the length of each side of square

then the area of square is x^2

after incresing each side 25 % then each side becomes (x + x/4) then the area becomes (x + x/4)^2 =x^2 + x^2/16 +x/2

so increase in area is difference between two areas

x^2 +x^2/16 +x/2 - x^2 = x^2/16 +x/2