PERIMETER OF SHAPES INVOLVING POLYNOMIALS WORKSHEET

Find the perimeter P of the following given all sides are measured in cm:

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Find the perimeter of the shapes given below.

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Express the area of the figure as a polynomial in descending powers of the variable x.

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Problem 3 :

The area of a rectangle is 20m² – 13m – 15. Find the length if the width is 4m – 5.

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Problem 4 :

A rectangular patio has an area of 2m³ + 12m² + 6m – 40. Find the length if the width is 2m + 8.

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Find simplified expressions for the perimeter and area of the given figure.

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Problem 7 :

The area of a rectangular window is (2x² – 7x – 15). Both the length and the width are polynomials with integer coefficients. Which of the following could represent the length of the window?

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Problem 8 :

A triangle is inscribed in a square, as shown. Write and simplify a function r in terms of x that represents the area of the shaded region.

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