Agolden rectangle has side lengths in the ratio of about 1: 1.618 if the long side of a golden rectangle is 35 cm what is its area round your answer to the nearest tenth
a. 2450 cm
b.757.1 cm
c.612.5 cm

The answer to your question is 757.1 cm²    

Step-by-step explanation:

Data

Ratio  1: 1.618

long side = 35 cm

Area = ?

Process

1.- Use proportions to solve this problem

       1 : 1.618 :: x : 35

        x = (35 x 1) / 1.618

        x = 35 / 1.618

        x = 21.63

2.- Calculate the area of the rectangle

Area = base x height

Area = 35 x 21.63

Area = 757.1 cm²        

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°