Answer:
54 square feet
Step-by-step explanation:
The width of the rectangle ABCD is 8 feet and the area of the same rectangle is 96 square feet.
Hence, the length of the rectangle is (96 ÷ 8) = 12 feet.
Now, if the rectangle ABCD is dilated to rectangle A'B'C'D', then the length and the width of the new rectangle will be changed in the same ratio.
So, 
{Where AB is the length and BC is the width}
⇒ 
⇒ A'B' = 9 feet
Therefore, the area of the dilated rectangle A'B'C'D' will be A'B' × B'C' = 9 × 6 = 54 square feet. (Answer)
Answer: B, p=q
Step-by-step explanation:
In every triangle, the sum of the angles will equal 180 degrees.
If you add the angles given in each triangle, both with equal 100 degrees.
Because of this, you do 180 degrees - 100 degrees to find that each angle, p and q, are both 80 degrees.
This is the correct answer
Answer:
Height of bigger square pyramid = 3.072 meter
Step-by-step explanation:
Using equivalent ratios to find the side of the bigger square prism
128:8 = 250:X
X = (250 x 8) ÷ 128 = 15.625
Volume of a square pyramid = a x a x h/3
Hence to evaluate the height
250 = 15.625 x 15.625 x h/3
H = 3.072 meters
