Your supervisor says that his wife has put an 18ft x 51ft garden in along the whole back end of their backyard. He says that this has reduced the backyard lawn area by 24%. What are the total dimensions of his backyard? What are the dimensions of of the remaining lawn?
To find the total dimensions of your supervisor's backyard and the dimensions of the remaining lawn, we can follow these steps:
Step 1: Calculate the initial size of the backyard lawn.
Since your supervisor mentioned that the garden reduced the backyard lawn area by 24%, it means the garden area occupies 24% of the original lawn area. Therefore, the remaining lawn area is 100% - 24% = 76% of the original lawn area.
Step 2: Calculate the dimensions of the remaining lawn.
To calculate the dimensions of the remaining lawn, we need to multiply the dimensions of the backyard by the percentage of the remaining lawn area. Given the original backyard dimensions were 18ft x 51ft, we can compute the remaining lawn dimensions as follows:
Remaining lawn length = 18ft x 76% = 13.68ft
Remaining lawn width = 51ft x 76% = 38.76ft
So, the remaining lawn has dimensions approximately 13.68ft x 38.76ft.
Step 3: Calculate the total dimensions of the backyard.
To determine the total dimensions of the backyard, we can add the dimensions of the remaining lawn to the dimensions of the garden. Since the garden has dimensions of 18ft x 51ft, the total backyard dimensions will be:
Total backyard length = Garden length + Remaining lawn length = 18ft + 13.68ft = 31.68ft
Total backyard width = Garden width = 51ft
Therefore, the total dimensions of your supervisor's backyard are approximately 31.68ft x 51ft.
18x51=.24Area
= .24*D*51
solve for D, then dimensions of original back yard is Dx51