Can I get math help please?

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

Can you help me with this? Which one of the three answers provided is it?

Relevance
• Ed I
Lv 7

A = (1/2)h(b1 + b2) = (1/2)(3)(15 + 9) = 36

The first answer is the correct choice.

½ x a x (b1 + b2)

= ½ x ((15 - 9) ÷ 2 x tan45º) x (9 + 15)

= ½ x (6 ÷ 2 x 1) x 24

= ½ x 3 x 24

= 36

• Anonymous

We can't tell because the formula for a trapezoid's area is:

Area = a*(b1+b2)/2

where b1 = the length of one base

b2 = the other base's length

and a = altitude (the distance between the bases)

The altitude is not provided in the question, but if you give us a measure of one of the trapezoid's legs we can use the Pythagorean Theorem to find the altitude.

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