Question

Find the area of this shape pls help

Answer 1

Area = 63.2 cm²

Explanation:

To find the area of the given shape, we can split it into two shapes: a trapezium and a rectangle (as shown in the attached diagram).

Doing so gives us a rectangle with a length of 10 cm and a breadth of 2.8 cm at the bottom of the shape. Therefore its area:

Area = length × breadth

= 10 cm × 2.8 cm

= 28 cm²

We also get a trapezium, whose area can be found using the following formula:

`\boxed{\mathrm{Area = (1)/(2) * (a + b) * h}}`

where:

• a, b ⇒ length of the parallel sides of trapezium

• h ⇒ distance between the parallel sides a and b

From the diagram attached below, we can see that the two parallel sides have lengths of 10 cm and 6 cm. Moreover, the distance between the parallel sides is 7.2 - 2.8 = 4.4 cm.

Therefore, using the above formula and information, we can calculate the area of the trapezium:

Area =
`(1)/(2)` × (6 + 10) cm × 4.4 cm

=
`(1)/(2)` × 16 cm × 4.4 cm

= 35.2 cm²

Now that we have the areas of the rectangle and trapezium, we can find the area of the whole shape simply by adding those two areas:

Area of shape = 28 cm² + 35.2 cm²

= 63.2 cm²

Therefore, the area of the given shape is 63.2 cm².