Question

A golden 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

Answer 1

The answer to your question is 757.1 cm²

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