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Bike-Lane Paint Crew: Marking Plans

Find areas of bike-lane markings using triangles, quadrilaterals, and composite polygons, then make paint-supply decisions.

Grade 6MathInteractive · Printable

Aligned to6.G.A.1

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 6
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

Students find areas of triangles and special quadrilaterals by decomposing or rearranging figures.
Students find composite polygon areas by adding parts or subtracting unpainted regions.
Students use polygon areas to compare marking plans and determine paint needs.

How to use

Have students mark useful bases, heights, and dividing lines before calculating. Review how to handle overlaps and unpainted cutouts.

Curriculum

Common Core standard covered

6.G.A.1

Find the area of triangles, special quadrilaterals, and polygons by splitting them into triangles or rearranging into rectangles.

Preview

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Name Date

Bike-Lane Paint Crew: Marking Plans

Split and rearrange street markings to calculate painted area.

1. Check Individual Markings

The city paint crew is planning bike-lane markings. On each coordinate diagram, one grid interval represents 1 meter. Each boundary follows the labeled vertices in order and returns to the first vertex. Find areas, not perimeters.

Two identical triangular merge markings fit together without gaps or overlaps to form a rectangle measuring 3.6 m by 2 m. What area will the crew paint for one triangle?

A. The area is 5.6 m².
B. The area is 1.8 m².
C. The area is 3.6 m².
D. The area is 7.2 m².

Parallelogram ABCD is a green crossing patch. Imagine cutting off its left triangular end and moving that piece to the right to form a rectangle.

What is the patch's area? m²

A triangular yield marking must cover 4.5 m². Its perpendicular height is 3 m. Two copies of the triangle would form a parallelogram with the same base and height.

How long must the triangle's base be? m

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