Question

Help ASAP 15 points

a) What is the length of the side of the small square? Do NOT put units in your answer and round to the tenths.
b) What is the area of the small square? Do NOT put units in your answer and round to the tenths.

Answer 1

Explanation:

a) Let's
`x` the length of the side of the small square.

Thus,

`x^(2) + (√(40))^2 = (√(50))^2`

`x^(2) + 40 = 50`

`x^(2) = 50 - 40`

`x^(2) = 10`

`x = √(10)`

`x=3.16`

b) Now, the area of the small square is

`A= x^(2)`

`A=(3.16)^2`

`A=9.99`