Question

You are planning a deck along two sides of a pool. The deck is to have a total perimeter of 124 feet. The diagram, which is not drawn to scale, has divided the deck into three sections. What are the dimensions of each section?
A deck divided into 3 4-sided figures.
a.
section 1: 15 ft x 3 ft
section 2: 3 ft x 3 ft
section 3: 10ft x 3 ft
c.
section 1: 18 ft x 8 ft
section 2: 8 ft x 8 ft
section 3: 12ft x 8 ft
b.
section 1: 16 ft x 6 ft
section 2: 6 ft x 6 ft
section 3: 18ft x 6 ft
d.
section 1: 19 ft x 10 ft
section 2: 10 ft x 10 ft
section 3: 23ft x 10 ft



Please select the best answer from the choices provided


A
B
C
D

Answer 1

Only one option has all the sides of each section add up to 124.
For option A, section 1 has lengths of 15x3, 3x3, and 10x3, which add up to 15+15+3+3+3+3+3+3+10+10+3+3
This adds up to 74, not 124, so we know A cannot be our answer.

In this way, can you figure out which of the options is correct?