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 67.5 sq. units 72 sq. units

Answer 1

A = { 3(15 + 9) } / 2 = 36 sq. units

Answer 2

36 sq. units

Explanation:

Area of any Trapezoid can be found by the formula Area=
`(1)/(2) (sum of length of bases)xheight`

The base angles are given as 45 degrees so we have a 45 45 90 triangle .In 45 45 90 triangle legs are same so height = 3.

Area of trapezoid =
`(1)/(2) (9+15).3`

=
`(1)/(2) (24).3=36square units.`