Polynomial Word Problems Worksheet
This worksheet provides practice with solving word problems involving polynomials, covering topics such as perimeter, area, and volume.
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Standards
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Polynomial Word Problems
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Read each word problem carefully and solve for the unknown. Show all your work.
1. A rectangular garden has a length of (2x + 5) meters and a width of (x - 2) meters. Write a polynomial expression for the perimeter of the garden.
2. If the perimeter of an equilateral triangle is (9y - 12) centimeters, what is the length of one side?
3. The area of a rectangular patio is given by the expression (x² + 7x + 10) square feet. If the length of the patio is (x + 5) feet, then the width of the patio is .
4. A square piece of fabric has a side length of (3a - 4) inches. The polynomial expression for the area of the fabric is .
5. A storage box has a length of (x + 3) cm, a width of (x - 1) cm, and a height of (x + 2) cm. Write a polynomial expression for the volume of the box.
6. A rectangular prism has a volume represented by the polynomial (x³ + 6x² + 11x + 6). If the length is (x + 1) and the width is (x + 2), what is the height?
(x + 3)
(x - 3)
(x + 6)
(x - 6)
7. A rectangular field has an area of (x² + 9x + 20) square yards. If the length of the field is (x + 5) yards, and a fence is to be built around the entire field, write a polynomial expression for the total length of fencing needed.