212k views
4 votes
Plz help, I don't need the show all work.

Plz help, I don't need the show all work.-example-1
User Aretha
by
7.2k points

2 Answers

1 vote
the answer is 108 cm^2
User Bobbi Bennett
by
6.5k points
4 votes

Answer:

The answer is 108 cm²

Explanation:

First, you have to find the height of the parallrelogram using trogonometric formula, sinθ = oppo./hypo. :

oppo. = height

hypo. = 9 cm

θ = 59°

sin 59° = height/9

height = 9 sin 59°

= 7.715 cm (4s.f)

Given that the formula of area of parallelogram is, A = base×height. Then, you can substitute the value into the formula :

base = 14 cm

height = 7.715 cm

A = 14 × 7.715

= 108 cm² (3s.f)

User Roman Osypov
by
6.6k points