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If the areas of the 4 squares are 50, 32, 18 and 12, what is the ratio of the small shaded portion to the area of the large shaded portion?A. 1:8

B. 1:6
C. 1:4
D. 1:3
E. 1:1

User Bacongravy
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2 Answers

5 votes

Answer: D. 1:3

The ratio of the small to the large shaded portion can be written as;

A1 : A2

6 : 18

6/6 : 18/6

1 : 3

The ratio is 1 : 3

If the areas of the 4 squares are 50, 32, 18 and 12, what is the ratio of the small shaded portion to the area of the large shaded portion?A. 1:8

B. 1:6

C. 1:4

D. 1:3

E. 1:1

Attached is the figure

Explanation:

Given;

Area of the squares from the biggest to the smallest is: 50, 32, 18, 12

According to the attached figure, the small shaded portion is the margin between the smallest square and the next square.

The area of the small shaded portion A1 = Area of the next square to the smallest - Area of the smallest

A1 = 18 - 12 = 6

Area of the large shaded portion A2 = Area of the largest square - Area of the next square to the largest

A2 = 50-32 = 18

The ratio of the small to the large shaded portion can be written as;

A1 : A2

6 : 18

6/6 : 18/6

1 : 3

The ratio is 1 : 3

If the areas of the 4 squares are 50, 32, 18 and 12, what is the ratio of the small-example-1
User LoLance
by
5.5k points
1 vote

Answer:

D. 1:3

Explanation:

Given that the areas of the 4 squares are 50, 32, 18 and 12,

Area of the small shade portion portion = 18 - 12 = 6

Area of the large shade portion portion = 50 - 32 = 18

Therefore, the ratio of the small shaded portion to the area of the large shaded portion

= 6:18

= 1:3

Option D.

User Nathaniel Saxe
by
5.2k points