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Please use this set of questions to practice solving problems that use algebraic expressions to represent the perimeter and area of 2D shapes.

Study Slideshow

Please write a simplified algebraic expression to represent the perimeter of the rectangle.

P = 18a - 14b - 20

The lengths of two line segments are represented by (2a + 3b) and (5a - b). If the two line segments are lined up end to end, how long is the total length?

7a + 2b

The perimeter of the rectangle is 126 m. Determine the value of w.

w = 22 m

Please write a simplified algebraic expression to represent the area of the rectangle.

A = 27x - 6

Write a simplified algebraic expression to represent the perimeter of the triangle. Then, solve the perimeter when w = 7.5 cm.

P = 9w + 93; P = 160.5 units

Determine the height of the triangle shown.

10 m

The area of a parallelogram is 56 cm^2. What is the measure of the base if the height measures 8 cm?

7 cm

Please write a simplified algebraic expression to represent the perimeter of the rectangle.

P = 10a - 4b

Write a simplified algebraic expression to represent the perimeter of the shape.

P = 34a

Write a simplified algebraic expression to represent the perimeter of the shape.

P = 14y + 12x

Please write a simplified algebraic expression to represent the area of the shaded region of the image.

A = 6x + 42

What are the dimensions of a rectangle with an area of 12 cm^2 and a perimeter of 14 cm?

l = 3 cm ; w = 4 cm