Question

In the diagram shown,

CDEF is a trapezium,
ABCF is a rectangle,
BD = 9 cm,
AB = 6 cm,
EF = 3 cm,
Perimeter of ABCF = 20 cm.
6 cm
Calculate the area of trapezium CDEF.
You must show all your working.

Answer 1

To calculate the area of trapezium CDEF, we need to find the lengths of its parallel sides and its height. We can find the length of CD by using the perimeter of ABCF. Once we have the lengths of the parallel sides, we can use the formula for the area of a trapezium to calculate its area.

Step-by-step explanation:

To find the area of trapezium CDEF, we need to know the lengths of its parallel sides, CD and EF, as well as its height. Let's start by finding the length of CD using the perimeter of ABCF.

The perimeter of a rectangle is given by the formula: P = 2(l+w), where l is the length and w is the width. We are given that the perimeter of ABCF is 20 cm and AB = 6 cm. Since ABCF is a rectangle, CD = AB = 6 cm.

Now that we know the lengths of the parallel sides of the trapezium, we can find its area using the formula: Area = (CD + EF) * height / 2. Substituting the values, we get: Area = (6 cm + 3 cm) * height / 2.

Answer 2

1/2 * (5+3) * 6 = 24 cm^2

Step-by-step explanation:

Perimeter is 20

and it's a rectangle so 2x + 12= 20

x is 4 so one of parallel side of trapezium is 9-4 or 5 then just apply formula for area of trapezium