Answer:
63
Step-by-step explanation:
The answer is b = 3. you subtract 24 from bothe sides and then divide by 2.
Split the shape into smaller shapes, (see attachment)
find the area of the split shapes. So first find the area of the triangles
A = 1/2bh
A = 1/2*2*3
A = 1/2*6
A = 3
so that is the area of one triangle. the area of the other is
A = 1/2*4*3
A = 1/2 * 12
A = 6
now find the area of the rectangle
A = l*w
A = 9*3
A = 27
add them all together
27 + 6+ 3 = 36
the area of the total figure is 36
because the denominator is on the bottom, you have to find a number which both 12 and 9 can be divided by. In this case the only answer that isn't a decimal is 3
Answer:
12 a. 4605 feet 12 b. 1,459,063 square feet
Step-by-step explanation:
For the perimeter, we simply add the lengths of each of the 5 sides together (or multiply 5 times one side length).
P = 5(921)
P = 4605 feet
For the area, we will use composition...add the area of the triangle to the area of the trapezoid.
For the area of the triangle, the formula is
.
Filling in our values gives us
and
A = 403,045 square feet.
Now for the trapezoid. The formula for a trapezoid is

where the b's represent the bases and the h represents the height. Filling in our values gives us

Work inside the parenthesis first:
and
A = 1,056,018
Now we add those together to get that area of the Pentagon is 1,459,063 square feet