A member of the city council proposed to fence off a square lot into five regions. Four of the regions would be identical rectangles (regions 1–4). These rectangles would surround a square in the middle of the lot (region 5). Below is the layout the council member proposed:
[attachment=0:3s09gn5u]Math.jpg[/attachment:3s09gn5u]
If the city council wants the interior square to be a small decorative space with an area of 30 square yards, what should the dimensions of each rectangle be? Explain how you attained your answer.
I assumed the square area formula to equal 30 would be:
(30-2w)^2=30, but I can't figure out how to find the dimension of each rectangle now in number form. If somone could help that would be great. Thanks in advance!
[attachment=0:3s09gn5u]Math.jpg[/attachment:3s09gn5u]
If the city council wants the interior square to be a small decorative space with an area of 30 square yards, what should the dimensions of each rectangle be? Explain how you attained your answer.
I assumed the square area formula to equal 30 would be:
(30-2w)^2=30, but I can't figure out how to find the dimension of each rectangle now in number form. If somone could help that would be great. Thanks in advance!
