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Sagot :
Answer:
Julie should make the width of the sidewalk five feet
Step-by-step explanation:
The complete question is as follows -
Julie wants to build a sidewalk of uniform width around her garden. Her garden is rectangular, and its dimensions are 20 feet by 30 feet. She has enough pavers to cover 900 square feet and wants to use all the pavers.
Complete the following statement. Round to the nearest tenth.
Julie should make the width of the sidewalk _____ feet.
Solution -
Let the width of the path be "X" feet.
Now Side of the park with path will be [tex]50 + 2X\\[/tex]
Width of the park would be [tex]30 + 2X[/tex]
Now Area of the path is [tex]900[/tex] square feet
So,
[tex](50+2X) (30 +2X) - (50 *30) = 900\\50 * 30 + 100 X + 60 X + 4X^2 - (50 *30) = 900\\160 X + 4X^2 = 900\\X^2 + 40 X = 225\\X^2 + 40 X -225 = 0\\X^2 + (45 X-5X) -225 = 0\\X ( X-5) + 45 (X-5) = 0\\X = 5[/tex]
Hence, the width of the park is 5 feet
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