Cut-Out Shapes: Area and Missing Sides
Print 4th grade cut-out shape problems: split shapes into rectangles to find area and solve for a missing side.
Worksheet version 1 of 12. The answer key matches the current version.
Find the area or the value of x. For area, split the shape into rectangles or subtract the cut-out. All lengths are in cm. Pictures are sketches: use the numbers, not their drawn size.
1. Find the area.
Answer: __________
2. Find x.
Answer: __________
3. Find the area.
Answer: __________
4. Find x.
Answer: __________
5. Find the area.
Answer: __________
6. Find x.
Answer: __________
About this worksheet
A cut-out shape can be split into rectangles whose areas add together. You can also find a missing length by comparing parts of a side with the whole. The x + 1 problems are a grade 4 challenge; composite area builds on CCSS 3.MD.C.7.d.
Print a student sheet, then choose “Show answer key” to print the matching answers. Choose “New worksheet” for another version; the answer key always follows the version on screen.
Practice aligned to CCSS 3.MD.C.7.d.
Related grade 4 rectangle-formula practice: CCSS 4.MD.A.3.
More practice: area and perimeter worksheets and 4th grade math worksheets.