# The area of a parallelogram is 342 square cm. The sum of its bases is 36 cm. Each slanted side measures 20 cm. What is the height?

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

To find the height of the parallelogram, we can use the formula for the area of a parallelogram, which is given by the product of the base and the height. Since the sum of the bases is 36 cm and the slanted sides measure 20 cm each, we can deduce that each base measures half of the sum of the bases, which is ( \frac{36}{2} = 18 ) cm.

Now, let's denote the height of the parallelogram as ( h ) cm. We have:

[ \text{Area} = \text{Base} \times \text{Height} ]

Substituting the given values:

[ 342 , \text{cm}^2 = 18 , \text{cm} \times h ]

To find the height ( h ), we can rearrange the equation and solve for ( h ):

[ h = \frac{342 , \text{cm}^2}{18 , \text{cm}} ]

[ h = 19 , \text{cm} ]

So, the height of the parallelogram is 19 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.

- How can I find the missing length of this triangular prism that's inside a sphere?
- A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #7 # and #4 # and the pyramid's height is #6 #. If one of the base's corners has an angle of #pi/3#, what is the pyramid's surface area?
- A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #18 # and the height of the cylinder is #21 #. If the volume of the solid is #420 pi#, what is the area of the base of the cylinder?
- If the volume of a sphere is #2304pi#, then what is the diameter?
- In the figure below, the lengths of DE , EF , and FG are given, in units. What is the area, in square units, of ∆DEG ?

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