Question

Libby is fencing in a playground. She has studied her budget and come up with two options she can afford:

Option 1: a triangle with base length 9 meters and height 12 meters. Option 2: a rectangle with length 10 meters and width 8 meters.
Which option will maximize the area, and what is the area?

A: Option 1: Triangle with area 54 square meters
B: Option 1: Triangle with area 108 square meters
C: Option 2: Rectangle with area 40 square meters
D: Option 2: Rectangle with area 80 square meters

Answer 1

Answer:

D: Option 2: Rectangle with area 80 square meters

Step-by-step explanation:

Answer 2

Option which maximize the area of Libby's playgoround fencing is equals to rectangle with area $80$ square meters.

What is area?

" Area is defined as the total space occupied by two dimensional geometrical shape enclosed in it."

Formula used

Area of a triangle $= \frac{1}{2} \times base \times height$

Area of a rectangle = length × width

According to the question,

Given,

Libby is fencing a playground with two option:

Option $1$ : Triangle with

Base length $= 9$meters

height $= 12$meters

Substitute the values in the formula we get,

Area of a triangle $= \frac{1}{2} \times 9\times 12$

                              $= 54$ square meters                       _____$(1)$

Option $2$ : Rectangle with

length $= 10$ meters

width $= 8$ meters

Area of a rectangle $= 10 \times 8$

                                 $= 80$ square meters                    _______$(2)$

From $(1)$ and $(2)$ we get,

Option which maximize the area is rectangle that is Option$2$.

Area   $= 80$ square meters

Hence, Option(D) is the correct answer.

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