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Rectangle Problems involving Algebraic Expressions - Solving Equations

Explore this assortment of worksheets to solve rectangle problems involving length, width, area, perimeter and diagonal with measures provided as algebraic expressions. These exclusive printable worksheets are aligned with the common core curriculum and are proposed for the use of middle school students. Recall and apply the properties of rectangle to solve the exercises provided in this section.

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Find the value of x using given sides

One of the dimensions of each rectangle is expressed in a linear equation and the side opposite to it is given as a whole number. Applying the fact that opposite sides are equal, set up the equation and then solve for x.

Type: One-step and two-step equations

Finding length or width

The opposite sides of the rectangle are represented as algebraic expressions. Equate both the expressions and find the value of x. Substitute the value of x in order to find the specified length.

Type: Multi-step equations

Find the value of x using given diagonals

Engage students with this set of ready-to-print worksheets on finding the value of x by applying the property - The diagonals of a rectangle are equal and bisect each other.

Type: One-step and two-step equations

Finding length of the diagonal

This compilation is based on the property; the two diagonals of a rectangle are congruent. Utilizing this property, set up the equation, solve for x and then find the length of the diagonal.

Type: Multi-step equations

Finding perimeter using algebra

Enrich the knowledge of 7th and 8th grade students on finding the perimeter of a rectangle with these PDFs. The parameters of each rectangle are depicted as algebraic expressions. Solve for x and then find the perimeter.

Type: Two-step and multi-step equations

Finding area using algebra

Middle school learners can sharpen their equation solving skills with this set of phenomenal worksheets. Use the congruent property to solve for x, find the length and width and then find the area of the rectangle.

Type: Two-step and multi-step equations

Length or width from the perimeter

The length and width are expressed as a linear equation. Set up the equations with the known perimeter to solve for x and then find the length and width of the rectangle. Recommended for 7th graders.

Type: Multi-step equations

Finding length or width from the given area

Apply the area formula to set up the quadratic equation with the given area (whole numbers) and dimensions (expressions). Solve for x and then find the length and width. Beware of extraneous solutions.

Type: Quadratic equations

Finding unknown angle using algebra: Level 1

Level 1 worksheets present vertex angles as whole numbers and algebraic expressions. Determine the value of x.

Type: Two-step equations

Finding unknown angle using algebra: Level 2

Put your students' understanding of properties of rectangles to test with these astounding worksheets. Find the value of x, when the vertex angle and angle formed by the diagonals are given as algebraic expressions.

Type: Two-step equations