Question

Can anyone find the area of the bigger rectangle?!

Answer 1

`112cm^2`

Explanation:

Since the rectangles are similar figures and the width of the bigger one is twice the size of the smaller one, the length should also be twice the size, so find the length of the smaller one, then multiply by two.

`l*w=A\\l*7=28\\l=28/7\\l=4`

`l` now represents the length of the bigger figure.

`4*2=l\\8=l`

Now find the area

`A=l*w\\A=8*14\\A=112`

Also, if you look at the figures, it looks like the small one fits into the big one 4 times, so multiply 4 by the area of the small figure, and you also get 112.

Answer 2

56cm^2.

Explanation:

They give you the smaller rectangle to provide you with a formula:

--> 7x4=28 (So formula is x4

--> 14x4=56