# A trapezoid has an area of #160# #cm^2#. The length of one base is #20# #cm# and the height is #10# #cm#. What is the length of the other base?

Area of a trapezoid is given by:

where:

So here, we have:

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

Using the formula for the area of a trapezoid:

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

We can rearrange the formula to solve for the length of the other base:

Other base = (2 * Area / height) - given base length

Plugging in the given values:

Other base = (2 * 160 cm^2 / 10 cm) - 20 cm

Other base = (320 cm / 10 cm) - 20 cm

Other base = 32 cm - 20 cm

Other base = 12 cm

Therefore, the length of the other base is 12 cm.

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

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.

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.

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.

- A rectangular prism with a height of 9 inches and a volume of 162 cubic inches, a triangular prism with the same height and volume. a) State the area of the base of each b) If the height is "h" express the base of the triangle in terms of "h"?
- A triangle has two corners with angles of # pi / 4 # and # pi / 2 #. If one side of the triangle has a length of #3 #, what is the largest possible area of the triangle?
- Cups A and B are cone shaped and have heights of #25 cm# and #18 cm# and openings with radii of #8 cm# and #3 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?
- Two corners of an isosceles triangle are at #(5 ,8 )# and #(9 ,1 )#. If the triangle's area is #36 #, what are the lengths of the triangle's sides?
- How do you find the perimeter of an equilateral with an altitude of #6sqrt3# cm?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7