4. The perpendicular distance between the bases of a trapezoid is 7.1 m and one of the bases
measures 3.1 m. If the area of the trapezoid is 15.62 square metre, find the length of the oth
base.
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Answered by
1
Answer:
The formula for the area of a trapezoid is
A
=
(
b
1
+
b
2
)
h
2
where
b
1
and
b
2
are the bases and
h
is the height.
In the problem, the following information is given:
A
=
60
f
t
2
,
b
1
=
8
f
t
,
b
2
=
12
f
t
Substituting these values into the formula gives...
60
=
(
8
+
12
)
h
2
Multiply both sides by
2
.
2
⋅
60
=
(
8
+
12
)
h
2
⋅
2
120
=
(
20
)
h
2
⋅
2
120
=
20
h
Divide both sides by
20
120
20
=
20
h
20
6
=
h
h
=
6
f
t
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