The new perimeter is 32 inches. You multiply the scale factor (8/7) by the original perimeter (28) which gives the answer of 32.
Answer:
Maria's book is 202 pages long, Brandon's book is 146 pages long
Step-by-step explanation:
We can set this up with 2 variables: lets say that Maria's book length is x and Brandon's is y.
We can see that Maria's book is 56 pages longer than Brandon's and can come up with an equation:
x=y+56
We also see that their booklengths add up to 348, and can get:
x+y=348
From here, we solve for x and y. We can use substitution to find y.
x+y=348
(y+56)+y=348
2y=292
y=146
Here we plug in for x:
x=y+56
x=(146)+56
x=202
Therefor we get that Maria's book is 202 pages long, Brandon's book is 146 pages long
Because there are more than 2 lengths for the sides and because the small triangle faces are right angles we will use this formula:
V=(1/2)bhl
which is equivalent to V=Al (A=(1/2)bh and A is Area)
b=12in
h=35in
l=40in
A=(1/2)•12in•35in
A=(1/2)•420in
A=210in^2
V=Al
V=(210in^2)•40in
V=8400in^3
Making your answer D. 8400 inches cubed
