Question

Find the perimeter and the area of the figure. A right-angled trapezoid has a shorter base of 7 centimeters, longer base of 9.5 centimeters, and height of 6 centimeters. The trapezoid is divided into a rectangle and a right triangle. The height of the triangle is aligned with the width of the rectangle and it has a hypotenuse of 6.5 centimeters.

Answer 1

The given dimensions of 9.5, 6, 7, and 6.5 cm gives the following

perimeter and area of the trapezium.

• Perimeter: 29 cm

• Area: 49.5 cm²

How can the area and perimeter of the trapezium be found?

The perimeter of a trapezoid is given as follows;

Perimeter = The sum of the lengths of the sides

Which gives;

Perimeter = 6 + 7 + 6.5 + 9.5 = 29

The perimeter of the trapezoid = 29 cm

• Perimeter: 29 cm

The area of the trapezoid is given as follows;

$Area = \mathbf{ \dfrac{Sum \ of \ the \ parallel \ sides }{2} \times Height}$

Which gives;

$Area = \dfrac{7 + 9.5 }{2} \times 6 = 49.5$

The area of the trapezoid = 49.5 cm²

• Area: 49.5 cm²

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