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If the area of a trapezoid is 176 square feet, its height measures 16 feet, and one of its bases measures 7 feet, what is the length of the other base?

Answer 1

#15# feet

#"Area"_("trapezoid") = (b_1+b_2)/2xxh# where #b_1# and #b_2# are the lengths of the (parallel) bases and #h# is the height.

We are given #color(white)("XXX")(7+b_2)/2 xx 16 =176#

#rarrcolor(white)("XXX")7+b_2= 22#

#rarrcolor(white)("XXX")b_2=15#

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Answer 2

Ella Armstrong

To find the length of the other base of the trapezoid, use the formula for the area of a trapezoid:

[ \text{Area} = \frac{1}{2} \times \text{(sum of bases)} \times \text{height} ]

Substitute the given values into the formula:

[ 176 = \frac{1}{2} \times (7 + \text{length of other base}) \times 16 ]

Solve for the length of the other base:

[ 176 = \frac{1}{2} \times (7 + \text{length of other base}) \times 16 ] [ 176 = 8 \times (7 + \text{length of other base}) ] [ 22 = 7 + \text{length of other base} ]

Subtract 7 from both sides:

[ \text{length of other base} = 22 - 7 = 15 ]

Therefore, the length of the other base of the trapezoid is 15 feet.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.