Math worksheet for calculating the area and perimeter of irregular shapes using a ruler.

To solve this worksheet, you need to use a physical ruler on the paper because the shapes do not have numbers written on them. The instructions say to "Use a ruler to measure and label the sides."

Since I cannot physically measure the image on your screen (the size changes depending on your device), I cannot give you the exact numbers for Area and Perimeter. However, I can show you exactly how to find the answer once you measure the sides.

Here is the step-by-step method for each shape:

General Rules

1. Perimeter: Add up the lengths of all the outside edges. Imagine walking around the entire shape; the total distance you walk is the perimeter.
2. Area: Count the square units inside the shape. For these irregular shapes, it is easiest to split them into two rectangles, find the area of each, and add them together.

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How to Solve Shape A

This shape looks like a rectangle with a small rectangle cut out of the top right corner, or two rectangles joined together.

Step 1: Measure
* Measure the long bottom side. Let's call this Length 1.
* Measure the tall left side. Let's call this Height 1.
* Measure the short top side. Let's call this Length 2.
* Measure the short right side (the vertical part sticking down). Let's call this Height 2.
* *Note: You might need to measure the inner horizontal and vertical lines too.*

Step 2: Calculate Perimeter
* Add all the outer sides together:
`Perimeter = Top + Right Side + Bottom + Left Side + any inner steps`
*(Tip: For L-shapes like A, B, C, D, and E, the perimeter is often equal to the perimeter of the large bounding box if you push the indented lines out. But adding all measured sides is the safest way.)*

Step 3: Calculate Area
* Method 1 (Splitting): Split the shape vertically into two rectangles.
* Rectangle 1 (Left): Multiply its height by its width.
* Rectangle 2 (Right): Multiply its height by its width.
* Add the two areas together.
* Method 2 (Subtraction): Imagine a big full rectangle that covers the whole shape.
* Calculate the area of that big rectangle.
* Calculate the area of the empty missing corner.
* Subtract the empty part from the big part.

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How to Solve Shape B

This is an "L" shape lying on its back.

Step 1: Measure
* Measure all 6 sides. Label them clearly on your paper.

Step 2: Calculate Perimeter
* Add all 6 side lengths together.

Step 3: Calculate Area
* Split the shape into two rectangles (one vertical on the left, one horizontal on the bottom).
* Area = (Area of vertical rectangle) + (Area of horizontal rectangle).

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How to Solve Shape C

This is a standard "L" shape.

Step 1: Measure
* Measure the long bottom side, the tall left side, and all the shorter inner sides.

Step 2: Calculate Perimeter
* Add all outer edge lengths together.

Step 3: Calculate Area
* Split it into a tall rectangle on the left and a shorter rectangle on the right.
* Calculate the area of each and add them.

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How to Solve Shape D

This shape looks like a rectangle with a notch taken out of the bottom left.

Step 1: Measure
* Measure all sides carefully.

Step 2: Calculate Perimeter
* Add all the side lengths together.

Step 3: Calculate Area
* Split the shape into a top rectangle and a bottom-right rectangle.
* Add their areas together.

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How to Solve Shape E

This is a tall shape with a notch in the bottom left.

Step 1: Measure
* Measure the total height, total width, and the smaller segments.

Step 2: Calculate Perimeter
* Add all the side lengths together.

Step 3: Calculate Area
* Split the shape into a large top rectangle and a smaller bottom rectangle.
* Add their areas together.

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Important Reminder for Your Homework:

1. Units: Look at the ruler. Is it in centimeters (cm) or inches (in)?
* If you measure in cm, your Perimeter answer is in cm and your Area answer is in cm² (square centimeters).
* If you measure in inches, your Perimeter answer is in in and your Area answer is in in² (square inches).
2. Labeling: Write the numbers you measured directly on the lines of the shapes before calculating.

Since I cannot see the physical measurements, you must perform the measurement step yourself to get the final numerical answers.