# Area of 2D Figures

**Area of Triangle**

Area = baseheight

The base and height of triangle should be perpendicular to each other.

*Example:* Find the area of triangle with base length 4 ft and vertical height 3 ft.

##### Area of triangle = **6 ft**^{2}

^{2}

**Area of Square**

Area of a square = (side)^{2}

** Example:** What is the area of square with each side length 2 yards?

Area of a square = (side)^{2} = (2)^{2} = **4 yd ^{2}**

**Area of Rectangle**

Area of a rectangle = length × width

*Example:* What is the area of a rectangular sheet with length 8 inches and width 4 inches?

**Area of rectangular sheet = length × width = 8 **

**in × 4 in = 32 in**^{2}

^{2}

**Area of Parallelogram**

Opposite sides in parallelogram are equal in length and opposite angles are equal in measure.

Area of parallelogram = base × height

** Example:** What is the area of given parallelogram?

Area of parallelogram = base × height = 4 mi × 3 mi = **12 mi ^{2}**

**Area of Trapezoid**

A trapezoid has one pair of sides that are parallel to each other.

In the figure below, base 1 and base 2 are parallel to each other.

Area of trapezoid =(base 1+base 2)height

*Example:* Find the area of a trapezoid with bases 7 cm and 3 cm. The height of trapezoid is 4 cm.

##### Area of trapezoid = = 5 cm × 4 cm = **20 cm**^{2}

^{2}

#### Check Point

- ABC is a right angled triangle with hypotenuse AC = 25 cm and base, BC = 24 cm. Find the area of triangle ABC.
- Find the area of a square field which is double the area of a rectangular field with length 60 m and 40 m.
- If the diagonal of a square is in, what is the area of square?
- What is the area of a trapezoid with height 3 in, and bases 1.5 in and 6.5 in?
- Find the area of parallelogram with base 7.5 yd and height 6.8 yd.

##### Answer key

- 84 cm
^{2} - 4800 m
^{2} - 100 in
^{2} - 12 in
^{2} - 51 yd
^{2}

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