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 choose 1 (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

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 =

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 =

2) 6 meters by 6 meters

Area =

3) 10 meters by 2 meters

Area =

Here we see the largest area is .

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

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.