Asked by SkatingDJ
ABGF is a square with half the perimeter of square ACDE. GD = 4 in. Find the area of the shaded region. The shaded area is FGBCDE.
I kinda know what needs to happen, but I'm lost and confused on the steps to get there:/ Step by step would be most helpful:) Thank you
I kinda know what needs to happen, but I'm lost and confused on the steps to get there:/ Step by step would be most helpful:) Thank you
Answers
Answered by
Steve
No idea where CDE are in relation to BGF. All you have said is that the two squares share corner A.
However, you do know that the smaller square has sides 1/2 as long as the larger one, so its area is 1/4 as big.
I suspect you can use that to determine the shaded area.
Also, a square's diagonal is √2 as long as its sides.
However, you do know that the smaller square has sides 1/2 as long as the larger one, so its area is 1/4 as big.
I suspect you can use that to determine the shaded area.
Also, a square's diagonal is √2 as long as its sides.
Answered by
Pleasehwlp
What did you end up getting I am very stuck.
Answered by
...
(Like a somewhat continuation of Steve's post)
A square's diagonal is √2 as long as it's sides, so sides ED, DC, CA, and AE all equal 4√2.
Okay so we know that the area formula is base*height, so that would make it:
4 root 2 * 4 root 2, which equals 32in^2. So now you have the area of the entire square.
We know that smaller square has sides 1/2 as long as the larger one, so its area is 1/4 as big (thanks Steve). Therefore, to get the area of the smaller square you do 32*1/4. That equals 8in^2.
Some simple subtraction (32in^2-8in^2=24in^)
The area of the shaded region is 24in^2 ^w^
A square's diagonal is √2 as long as it's sides, so sides ED, DC, CA, and AE all equal 4√2.
Okay so we know that the area formula is base*height, so that would make it:
4 root 2 * 4 root 2, which equals 32in^2. So now you have the area of the entire square.
We know that smaller square has sides 1/2 as long as the larger one, so its area is 1/4 as big (thanks Steve). Therefore, to get the area of the smaller square you do 32*1/4. That equals 8in^2.
Some simple subtraction (32in^2-8in^2=24in^)
The area of the shaded region is 24in^2 ^w^