Can You Pivot?
A trapezoid of 10 feet long with parallel sides measure 12 inches and 1 inch respectively has a area of 780 sq. inches. Find
x
, the distance from the bigger end to the point where the area can be divided in half by a line parallel to the parallel sides,
to the nearest 0.001 inch.
The answer is 38.022.
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2 solutions
Soln
Might help to add 'find x in inches'. That side was given in feet, so expressed it in feet and lost a chance in the process.
Same as Guiseppil Butel just retyping.
2
1
2
+
(
1
2
−
1
2
0
1
1
∗
x
)
∗
x
=
3
9
0
.
⟹
2
4
0
1
1
∗
x
2
−
1
2
x
+
3
9
0
=
0
x
=
2
∗
2
4
0
1
1
1
2
±
1
2
2
−
4
∗
2
4
0
1
1
∗
3
9
0
+
s
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g
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d
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c
a
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d
e
d
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d
x
=
3
8
.
0
2
1
5