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# Area Of 2D Figures

### Area of Triangle

Area = base height 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 ft2

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### 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 yd2

### 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 in2

### 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 mi2

### 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 cm2

## Check Point

1. ABC is a right angled triangle with hypotenuse AC = 25 cm and base, BC = 24 cm. Find the area of triangle ABC.
2. Find the area of a square field which is double the area of a rectangular field with length 60 m and 40 m.
3. If the diagonal of a square is in, what is the area of square?
4. What is the area of a trapezoid with height 3 in, and bases 1.5 in and 6.5 in?
5. Find the area of parallelogram with base 7.5 yd and height 6.8 yd.
1. 84 cm2
2. 4800 m2
3. 100 in2
4. 12 in2
5. 51 yd2

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