Area, perimeter of parallelogram — lesson. Mathematics State Board, Class 7.

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Area:

To calculate the area of a parallelogram, we multiply the base(\(b\)) times the height(\(h\)).

Area of parallelogram \(A = b × h\) square units.

For example, A parallelogram has a base of \(6 m\) and height of \(3 m\). Find its Area?

base \((b)=6\ m\) and height \((h) = 3\ m\).

Area

(A) = b \times h = 6 m \times 3 m = 18 m^{2} .

Base:

To calculate the base of the parallelogram, we divide area \(A\) by height \(h\).

Base of parallelogram (\(b\)) \(= A/h\) unit.

For example, A parallelogram has an area of \(64 m²\), and is \(4 m\) height, what is its base?

Area \((A)=64\ m^2\) and height \((h)=4\ m\).

Base

(b) = \frac{A}{h} = \frac{64}{4} = 16 m .

Height:

To calculate the height of the parallelogram, we divide the area \(A\) by base \(b\).

Height of parallelogram (\(h\)) \(= A/b\) unit.

For example, A parallelogram has an area of \(64 m²\) and base is \(16 m\). Find its height?

Area \((A)=64\ m^2\) and base \((b)=16\ m\)

Height

(h) = \frac{A}{b} = \frac{64}{16} = 4 m .

Perimeter:

To calculate the perimeter of a parallelogram, we multiply \(2\) times the (base + side length).

Perimeter of parallelogram (\(P\)) \(= 2 (b + l)\).

Where \(b\) is denoted as base and \(l\) is denoted as side length.

For example, A parallelogram has a base of \(5 m\) and length of \(3 m\). Find its perimeter?

Base \((b)=5\ m\) and side length \((l)=3\ m\).

Perimeter

= 2 (b + l) = 2 (5 + 3) = 2 (8) = 16 m .

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2. Area, perimeter of parallelogram