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More Grade 5 Math Lessons

Grade 5 Math Worksheets

Area & Perimeter of Complex Shapes

Examples, solutions, videos, worksheets, and stories to help Grade 5 students learn the effects of changing dimensions on area and perimeter.

The following diagram gives the effects of changing dimensions proportionally on the area, perimeter, and volume of figures. Scroll down the page for more examples and solutions.

**Effects of Changing Dimensions Proportionally**

**Effects of Changing One Dimension**

Examples:

1. Describe the effect of the change on the area when the height of a parallelogram is doubled.

2. Describe the effect of the change on the area when the base length of a triangle is halved.

**Effects of Changing Dimensions Proportionally**

Examples:

1. Describe the effect of the change on the perimeter and area when the base and height of a rectangle with base 8 m and height 3 m are both multiplied by 5.

2. Describe the effect of the change on the circumference and area of a circle when the radius is multiplied by 1/3.

**Effects of Changing Area**

Examples:

1. A square has side length 5 cm. If the area is tripled, what happens to the side length?

2. A circle has a radius of 6 in. If the area is doubled, what happens to the circumference?

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Grade 5 Math Lessons

Grade 5 Math Worksheets

Area & Perimeter of Complex Shapes

Examples, solutions, videos, worksheets, and stories to help Grade 5 students learn the effects of changing dimensions on area and perimeter.

The following diagram gives the effects of changing dimensions proportionally on the area, perimeter, and volume of figures. Scroll down the page for more examples and solutions.

Examples:

1. Describe the effect of the change on the area when the height of a parallelogram is doubled.

2. Describe the effect of the change on the area when the base length of a triangle is halved.

Examples:

1. Describe the effect of the change on the perimeter and area when the base and height of a rectangle with base 8 m and height 3 m are both multiplied by 5.

2. Describe the effect of the change on the circumference and area of a circle when the radius is multiplied by 1/3.

Examples:

1. A square has side length 5 cm. If the area is tripled, what happens to the side length?

2. A circle has a radius of 6 in. If the area is doubled, what happens to the circumference?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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