Question

Margo has 24 2424 meters of wood to build a fence around her garden. She wants to create the largest area possible. Which dimensions will give Margo the largest area? Choose 1 answer: Choose 1 answer: (Choice A) A 8 88 meters by 4 44 meters (Choice B) B 6 66 meters by 6 66 meters (Choice C) C 10 1010 meters by 2 22 meters

Answer 1

Answer:

B) 6 meters by 6 meters.

Step-by-step explanation:

Given;

Length of wood used for fencing = 24 m

Fencing is done all around the garden, that means length of wood used for fencing is equal to perimeter of garden.

∴Perimeter = $2(length +breadth)$

$2(length+breadth)=24 \\length+breadth=\frac{24}{2}=12$

Now we have the sum of length and breadth is 24.

We have three choices given whose sum is equal to the value that we calculated. But she wants to create the largest area. So we calculate the area for each option;

1) 8 meters by 4 meters

Area = $length\times breadth=8\times 4=32\ m^2$

2) 6 meters by 6 meters

Area = $6\times 6=36\ m^2$

3) 10 meters by 2 meters

Area = $10\times 2=20\ m^2$

Here we see the largest area is $36\ m^2$.

Thus for the largest to be fenced the length and breadth should be of 6 meters.