Calculate Parallelogram Area: Using Circle Diameter 10π cm and Rhombus Area 24 cm²

Question

The parallelogram ABCD is shown below.

BC is the diameter of the circle whose circumference is equal to 10π 10\pi cm.

ECFD is a rhombus whose area is 24 cm².

What is the area of ABCD?

333AAABBBCCCDDDEEEFFF

Video Solution

Solution Steps

00:00 Find the area of parallelogram ABCD
00:03 We'll use the formula for calculating parallelogram area
00:08 Side(DC) multiplied by height (H)
00:12 Let's draw height H to side DC
00:19 We don't know height H to side DC
00:26 Now let's try with side BC
00:31 Let's draw height H to side BC
00:39 Here too we don't know height H
00:42 Therefore we cannot solve this problem

Step-by-Step Solution

Let's try to calculate the area in two ways.

In the first method, we will try to use the rhombus ECFD:

Let's try to calculate according to the formula area=DC×hDC area=DC\times h_{DC}

We will lower a height to DC and see that we do not have enough data to calculate, so we will not be able to calculate the area of the parallelogram using the rhombus.

In the second method , we will try to use the circle:

area=BC×hBC area=BC\times h_{BC} We will lower a height to BC and see that we do not have enough data to calculate, so we will not be able to calculate the area of the parallelogram using the circle.

From this it follows that we do not have enough data to calculate the area of parallelogram ABCD and therefore the exercise cannot be solved.

Answer

It is not possible to calculate.

More Questions

Related Subjects

Parallelogram The area of a parallelogram: what is it and how is it calculated? Area

Question Types

Area of a Parallelogram: Using additional geometric shapes