Question

2.AsquareHipushas an area of 64 square inches. It is enlarged by a scale factorof Ž. What is the length of one side of the new square?Step One Find the lengths of the sides of the original square, givennengths-es notits area.weenrThe area is 64. If the sides are n, then n xn= 64 and n="DeanStep Two Multiply the length by the scale factor.8 Xسا |M=The length of the new square is 12 inches.

Answer 1

We must find the length of one side of the new square.

Step one

The area of the square is 64. We know that the is of a rectangle is given by n x n, so:

`n* n=64.`

The value of n is a number that multiplied by itself gives us 64, that number is 8, so we have:

`n=8.`

Step two

The length of one side of the new square is obtained by multiplying the original length 8 by the scale factor 3/2, which gives us:

`8*(3)/(2)=(8*3)/(2)=(24)/(2)=12.`

Answer

`\begin{gathered} n=8, \\ 8*(3)/(2)=12. \end{gathered}`