Question

An isosceles trapezoid has base angles of 45° and bases of lengths 9 and 15. The area of the trapezoid is 36 sq. units 72 sq. units 67.5 sq. units

Answer 1

Area = 36 sq units

Explanation:

An isosceles trapezoid have two triangles and probably a rectangle or a square.

To find the area, let's determine the height of the trapezoid.

The base length of one of the triangle

= (15-9))2

= 6/2 = 3

The height will be x

X /sin 45= 3 / sin 45

X= 3

The area of the trapezoid

= 1/2(a+b)h

Where a = 15

b = 9

h = 3

Area= 1/2(15+9)3

Area= 1/2 *24*3

Area= 12*3

Area = 36 sq units