Question

The length of a rectangle is twice the width. The area of the rectangle is 90 square units. Note that you can divide the rectangle into squares. A. Which irrational number represents the length of each side of the square? B. Estimate the length and width of the triangle​

Answer 1

Answer: A.
`3√(5)`

B. l=
`6√(5)`, w=
`3√(5)`

Explanation:

A. A=l*w

l=2w

A=2w*w

90=2w*w

w*w=45

w=
`√(45)`

w=
`√(9*5)`

w=
`3√(5)` ==> Square length and the rectangle width

B. 90=l*w

90=l*
`3√(5)`

30=l
`√(5)`

l=
`(30)/(√(5) )`

l=
`(30√(5) )/(5)`

l=
`6√(5)`, w=
`3√(5)`