Answer:
21
Step-by-step explanation:
I wil call the length l and the width w in the following. We are given these informations:
The area of the rectangle is 105. That means l * w = 105. (1)
The length is 16 inches longer that the width. That means l = w + 16. (2)
If we plug the information we get from (2) into the equation (1), we get:
(w + 16) * w = 105
Simplify and you get
w² + 16 w - 105 = 0
With the the quadratic formula we get the results w = 5 and w = -21. The negative result doesn't make sense for our task, we are only interested in positive length and width :).
If we now plug w = 5 back into our infromation (2), we get:
l = 5 + 16 = 21
(To confirm the result plug w = 5 and l = 21 into (1))
Answer: −22
Step-by-step explanation:
=−14−8
=−14+−8
=−22
Answer:
Part a) The area of the actual floor is 
Part b) The ratio of the area in the drawing to the actual area is 
Step-by-step explanation:
we know that
The scale drawing is 
step 1
Find the dimensions of the square on a scale drawing
The area of a square is equal to

where
b is the length side of the square

so


step 2
Find the dimensions of the actual floor
Divide the length of the floor on the drawing by the scale drawing

step 3
Find the area of the actual floor
The area of a square is equal to

substitute

step 4
Find the ratio of the area in the drawing to the actual area

Simplify
Divide by 64 both numerator and denominator

I think that the answer is the 2rd choice on the 2nd picture.
Hope this helps!! :-)
Answer:
75 square ft
Step-by-step explanation:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. So 25 times 3 = 75