Question

Find the perimeter and area of the following figures, given the dimensions, are in $cm$ .

Accepted Answer

We are given to find the perimeter and area of the following figures. The dimensions are in $cm$ .

We know that the perimeter of a closed figure is the length of its boundary. It is obtained by adding the lengths of the sides of the figure.

In the given figure, the length of the side at the bottom $= 4 + 4 + 4 = 12 cm$ .

Hence, the perimeter of the above figure $= 4 + 4 + 4 + 4 + 4 + 4 + 4 + 12 = 40 cm$ .

To compute the area, we shall divide the given figure into rectangles as shown below.

So, the area of the given figure $=$ the area of the rectangle $A B C H +$ the area of the square $D E F G$

$= 12 \times 4 [∵ AB = 12 cm]$ $+ 4 \times 4$

[The area of a square $= side \times side$ and the area of a rectangle $= length \times breadth$ ]

$= 48 + 16$

$= 64 {cm}^{2}$ .

Therefore, the perimeter and the area of the given figure are $40 cm$ and $64 {cm}^{2}$ , respectively.

Worksheet

Vaishali Bhatia Mathematics Solutions for Exercise - Worksheet

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