The area of any rectangle is:
A=xy, and a square is just a special rectangle where the two dimensions are equal. x=y=s, where s is the side length so the area of a square is:
A=s^2 we want to solve for s so
s^2=A
s=√A, and we are told that the area is 113 in^2
s=√113 in
s≈10.63 in (to nearest hundredth of an inch)
Answer:
B
Step-by-step explanation:
Given
7 + x ≤ 10 ( subtract 7 from both sides )
x ≤ 3 → B
12, or -12
12*12 = 144
-12*-12 = 144
The two triangles are similar, so will have a direct scale factor. We can find this by using the given measurements, 10÷8=1.25. So the scale factor from the smaller to the bigger triangle is 1.25. This means that 1.25×(x+6)=AE. We can solve this as we would with a regular linear equation:
1.25(x+6)=2x+6
1.25x+7.5=2x+6
1.5=0.75x
2=x
∴ AE is 2x+6=10
Subtract 5r from both sides
2p= q-5r
Divide both sides by 2
p= (q-5r)/2
