Home > Geometry > Perimeter and Area of Non-Standard Shapes

The area of the trapezoid is 56 units². The top length is parallel to the bottom length. The top length is 10 units and bottom length is 6 units. How would I find the height?

Answer 1

Caroline Aucoin

Area of trapezoid #=1/2(b_1+b_2)xxh#

Using the area formula and the values given in the problem ...

#56=1/2(10+6)xxh#

Now, solve for h ...

#h=7# units

hope that helped

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Claire Akin

To find the height of the trapezoid, you can use the formula for the area of a trapezoid, which is:

Area = 1/2 * (sum of the lengths of the parallel sides) * height

Given that the area of the trapezoid is 56 units², the top length is 10 units, and the bottom length is 6 units, you can substitute these values into the formula and solve for the height:

[56 = \frac{1}{2} \times (10 + 6) \times \text{height}]

Simplify the expression inside the parentheses:

[56 = \frac{1}{2} \times 16 \times \text{height}]

[56 = 8 \times \text{height}]

Now, divide both sides of the equation by 8 to isolate the height:

[\text{height} = \frac{56}{8}]

[\text{height} = 7]

So, the height of the trapezoid is 7 units.

By signing up, you agree to our Terms of Service and Privacy Policy

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.