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.

Answer 1

area of the rectangle is ≈757.1 cm²

Explanation:

To find the area we first need to find the other side length, since the first length is given as 35cm

But the question says they are in the ratio 1 : 1.618

Let x be the breadth of the golden box

1 : 1.618

x : 35cm

1/1.618 =x/35

cross multiply

1.618x = 35

Divide both-side of the equation by 1.618

1.618x/1.618 = 35/1.618

x = 21.632

Therefore the breadth is 21.632

Area of the rectangle = l × b

Area of the rectangle=35 × 21.632

Area of the rectangle = 757.12 cm²

Therefore; area of the rectangle is ≈757.1 cm² to the nearest tenth.