Marianna is painting a ramp for the school play in the shape of a right triangular prism. The ramp has dimensions as shown below
. She will not paint the back or bottom surfaces of the ramp. What is the surface area of the ramp?
Just include the front and sides of the ramp.
A
4 square inches
B
300 square inches
C
2,905 square inches
D
3,672 square inches
Just include the front and sides of the ramp.
A
4 square inches
B
300 square inches
C
2,905 square inches
D
3,672 square inches
2 answers:
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Answer:
5
Step-by-step explanation:
Use the distance formula
insert the numbers into the formula
2+1=3 and 0-4=-4
=9 and
= 1
9+16=25
the square root of 25 is 5
Answer:
2.2 metres squared
Step-by-step explanation:
We need to find the area of this trapezoid.
The area of a trapezoid is denoted by:
, where
and
are the parallel bases and h is the height
Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.
Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:
2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4
Thus, the height is h = 1.4 metres. Now plug all these values we know into the equation to find the area:
The answer is thus 2.2 metres squared.
<em>~ an aesthetics lover</em>