Digits, Grade 7, Volume 1, Homework Helper

4-5: TEKS Practice

  • 1. An oval track is made by enclosing semicircles on each end of a 50 m-by-100 m rectangle. Find the area enclosed by the track. Use 3.14 for π.

    A composite figure: A rectangle of base length 100 m and height 50 m. Each short side of the rectangle forms the straight edge of a semicircle.

  • 2. The outside wall of a dollhouse has the shape of this polygon. What is the area of the polygon?

    A composite figure

  • 3. Find the area of the shaded region. Use 3.14 for π.

    Two circles that share a center, one with radius 12 meters and the other with radius 15 meters. The region between the circles is shaded.

  • 4.

    • a. Show two ways that the polygon can be decomposed into simpler shapes.

      A polygon.

    • b. Explain how to use the simpler shapes to find the area of the figure.

  • 5. The figure shows the outline of a new pier that is going to be built at the ocean.

    A composite figure formed by a rectangle with length 104 meters and height 52 meters and a semicircle with diameter 52 meters.

    • a. What is the area of the pier?

    • b. Draw another figure that has the same area as the given figure.

  • 6.

    • a. Draw a polygon that is made up of squares, triangles, and parallelograms.

    • b. Which of these formulas would you use to find the area of the polygon? Select all that apply.

      • A. A = b + h

      • B. A = bh

      • C. eh equals , 1 half , b h

      • D. A = s2

      • E. eh equals , h over b

      • F. eh equals , b over h

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Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties