Question

What is the area of the figure?

A) 305 cm²


B) 315 cm²


C) 390 cm²


D) 400 cm²

Answer 1

Option (c) is correct.

total area of figure = 390 cm²

Explanation:

The given figure consist of two shapes a rectangle of length 20 cm and breadth of 15 cm and a triangle at top with base 15 cm and height 12 cm.

We have to find the area of this figure,

To find the area add the area of the two figure

Area of rectangle = length × breadth

Substitute, we get

Area of rectangle = 20 × 15

Area of rectangle = 300 cm².

Area of triangle =
`(1)/(2 ) \cdot {base} \cdot height`

Substitute, we get

Area of triangle =
`(1)/(2 ) \cdot 15 \cdot 12`

Area of triangle = 90 cm²

Thus, total area of figure = Are of rectangle + area of triangle

total area of figure = ( 300 + 90 ) cm²

total area of figure = 390 cm²

Hence, option (c) is correct.

Answer 2

Option C

A = 390
`cm ^ 2`

Explanation:

The image shows a figure composed of a rectangle and a triangle.

We know that the area of a rectangle is:

Ar = length * width

Then, using the data shown in the image, we have to:

Ar = 20(15) = 300
`cm ^ 2`

Then, the area of a triangle is:

`At = (1)/(2)base*height`

So:

`At = (1)/(2)15(12)`

`At = 90\ cm ^ 2`

Finally the area of the figure is:

`A = At + Ar\\\\A = 390\ cm ^ 2`