Jim is landscaping his backyard which is 16ft x 25ft. He will buy 162 square feet of sod to put in the middle leaving a uniform width around the four edges for planting flowers. What dimensions will the sod have?

Question

lowkey · Answer

@dude Hey there

lowkey · Answer

Hey! You think you can compare answers with me?

balling4days · Answer

so 16 feet x 25 feet = 400 square feet and 163 are in the middle

lowkey · Answer

yes

lowkey · Answer

You are not in college math.

Vocaloid · Answer

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you want the inner dimensions of the rectangle (the sod). the border around the inner rectangle has a uniform width, which we can call "x".

therefore, the dimensions of the inner rectangle are (25-2x)(16-2x), and the area of the inner rectangle is 162, so (25-2x)(16-2x) = 162. solve for x.

Vocaloid · Answer

*to add: once you solve for x, you need to go back and calculate 25 - 2x and 16 - 2x to find the actual dimensions of the sod