# Trapezoid Problems

### Solutions

1Find the area of the following trapezoid:

2A wooded area is in the shape of a a trapezoid whose bases measure 128 m and 92 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the walkway.

3A line connects the midpoint of BC (Point E), with Point D in the square ABCD. Calculate the area of the acquired trapezoid shape if the square has a side of 4 m.

4The perimeter of an isosceles trapezoid is 110 m and the bases are 40 and 30 m in length. Calculate the length of the non-parallel sides of the trapezoid and its area.

5If non-parallel sides of an isosceles trapezoid are prolonged, an equilateral triangle with sides of 6 cm would be formed. Knowing that the trapezoid is half the height of the triangle, calculate the area of the trapezoid.

6Find the height of the following isosceles trapezoid:

7Calculate the oblique side of the right trapezoid:

## 1

Find the area of the following trapezoid:

## 2

A wooded area is in the shape of a a trapezoid whose bases measure 128 m and 92 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the walkway.

A_{Z} = A_{Trapezoid} − A_{Walk}

## 3

A line connects the midpoint of BC (Point E), with Point D in the square ABCD. Calculate the area of the acquired trapezoid shape if the square has a side of 4 m.

## 4

The perimeter of an isosceles trapezoid is 110 m and the bases are 40 and 30 m in length. Calculate the length of the non-parallel sides of the trapezoid and its area.

## 5

If non-parallel sides of an isosceles trapezoid are prolonged, an equilateral triangle with sides of 6 cm would be formed. Knowing that the trapezoid is half the height of the triangle, calculate the area of the trapezoid.

## 6

Find the height of the following isosceles trapezoid:

## 7

Calculate the oblique side of the right trapezoid: