Area Of 2D Shapes

Approved & Edited by ProProfs Editorial Team

The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.

Learn about Our Editorial Process

| By Ddouis14

Ddouis14

Community Contributor

Quizzes Created: 17 | Total Attempts: 15,132

Questions: 11 | Attempts: 1,463 | Updated: Apr 3, 2025

Quiz Lesson

Questions

Settings

Feedback

During the Quiz End of Quiz

Difficulty

Sequential Easy First Hard First

Create your own Quiz

This quiz focuses on calculating the area of various 2D shapes including triangles, parallelograms, and other polygons. It assesses the ability to apply area formulas in different contexts and units, enhancing geometric measurement skills relevant for educational progress.

Questions and Answers

1.

Find the area of the triangle. Area = ________ mm²

Explanation
The provided figure shows a right-angled triangle, where the base and height are perpendicular to each other. The area of a triangle is calculated as half the product of its base and height. In this case, the base is 13 mm and the height is 10 mm. Therefore, the area of the triangle is (1/2) * 13 mm * 10 mm = 65 mm².

Rate this question:

10
2.

Find the area of the triangle.Area = ________ cm²

Explanation
The given answer, 24, is the area of the triangle in square centimeters.

Rate this question:

5
3.

Find the area of this ISOSCELES triangleArea = ________ m²

Explanation
The area of an isosceles triangle can be found by multiplying the base length by the height and dividing the result by 2. In this case, since the base length and the height are not given, we cannot determine the area of the triangle. Therefore, the answer cannot be determined based on the information provided.

Rate this question:

2
4.

Find the area of this shape: Area = ________ cm²

Explanation
Divide the shape: Divide the L-shaped figure into two rectangles. One rectangle has dimensions 2 cm by 5 cm, and the other has dimensions 2 cm by 4 cm.
Calculate the area of each rectangle:
Area of the first rectangle: 2 cm * 5 cm = 10 cm²
Area of the second rectangle: 2 cm * 4 cm = 8 cm²Add the areas: Total area = 10 cm² + 8 cm² = 18 cm²

Rate this question:

4
5.

Find the area of this shape.Area = ________ m²
6.

Find the area of this parallelogram.Area = ________ cm²

Explanation
The given answer, 12, is the area of the parallelogram.

Rate this question:

1
7.

Find the area of this shape.Give your answer in mm² then in cm²Area = ________ mm² =________ cm²

Explanation
The given shape has an area of 30 mm². To convert this to cm², we divide by 100 since there are 100 mm in 1 cm. Therefore, the area in cm² is 0.3 cm². Additionally, 0.30 cm² is also a correct representation of the area in cm², as it is the same value but with an extra zero after the decimal point.

Rate this question:

1
8.

Work out the area of this trapezium. Area = ________ cm²

Explanation
The area of a trapezium is calculated using the formula:
Area = (1/2) * (sum of parallel sides) * height
In this case, the parallel sides are 2 cm and 4 cm, and the height is 3 cm.
Therefore, the area of the trapezium is:
Area = (1/2) * (2 cm + 4 cm) * 3 cm Area = (1/2) * 6 cm * 3 cm Area = 3 cm * 3 cm Area = 9 cm²

Rate this question:

0
9.

Work out he area of this shape.Area = ________ m²

Explanation
The given question asks to calculate the area of the shape, which is represented by the answer 20. The area is typically measured in square units, such as square meters. Therefore, the area of the shape is 20 square meters.

Rate this question:

2
10.

The area of the shape is given. Find the unknown length.missing length = ________ m

Explanation
The missing length is 4m. This is because all the given lengths are the same, indicating that the shape is a square. In a square, all sides are equal in length. Therefore, the missing length must also be 4m.

Rate this question:

5
11.

The area of this triangle is given. Work out the missing length.________ cm

Explanation
The given triangle is an equilateral triangle, which means all sides are equal. Since the area is given, we can use the formula for the area of an equilateral triangle, which is (sqrt(3)/4) * side^2. By plugging in the given area, we can solve for the missing length. In this case, the missing length is 16 cm, as all sides of the triangle are equal.

Rate this question:

2