Step-by-step explanation:
L = length
W = width
L = W + 9
A = 112 = LW = (W+9)W
So,
W2 + 9W = 112
W2 + 9W - 112 = 0
Factoring
(W-7)(W+16) = 0
W = 7, -16
We discard W = -16, since a measurement cannot be negative.
W = 7
And since L = W + 9, then L = 7 + 9 = 16
This is a 16x7 rectangle
Each rug is 1/8 of the floor space. So, 4 rugs would cover half of the floor space. Multiply, then reduce.
4(1/8)=4/8 or 1/2
Answer:
it is a parallelogram
Step-by-step explanation:
so first plot out points and then you find the slope for each of the corresponding lines.
First lets find the slope for AB. you must subtract them and make it -2-1/-2-1. it ends up having a slope of 1.
Then find the slope of the corresponding side(CD). this we will subtract -2-1/3-6. this will have a slope of 1 and will be parallel to AB.
Next you find the slopes of the other two sides starting with AC. we will subtract -2-(-2)/-2-3. this will be a vertical line which means it has a slope of 0.
finally the last step is you see if BD has an equal slope to AC. you then subtract 1-1/1-6. this is also a vertical line so the slope is 0 just like AC so they are both parallel.
in conclusion there are two sets of parallel lines so you have a parallelogram