fickllyd000
25.02.2021 •
Mathematics
A triangular pane of glass has a height of 32 inches and an area of 352 square inches. What is the length of the base of the pane?
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Ответ:
I think the answer is 11264.
Ответ:
Step-by-step explanation:
Hello, I think I can help you with this
let's remember the area of a rectangle
Area(r) =length * width
and, the area of a triangle is
Area (t)=(base* height)/2
Step 1
find the area of the triangle
the triangles are similar, so
Base=10 cm
height=8.7 cm
Hence,
Area(t)=(10 cm*8.7 cm)/2
Area(t)=43.5 cm2
Step 2
find the area of the rectangle
the rectangles are similar, so
length=10 cm
width=8 cm
Hence,
Area(r)=(10 cm*8. cm)
Area(r)=80 cm2
Step 3
Add
there are 2 triangles and 3 rectangles, so the total area is
Total area=2 *Area(t)+3*Area(r)
put the values into the equation
Total area=2*43.5 cm2+3*80 cm2
Total area=87 cm2+ 240 cm2
Total area= 327 cm2
Have a great day