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Home > CC2 > Chapter 5 > Lesson 5.2.6 > Problem 5-84

5-84.

Manuel used pattern blocks to build the shapes below. The block marked A is a square, B is a trapezoid, C is a rhombus (a parallelogram with equal sides), and D is a triangle. Find the area of each of Manuel’s shapes. Homework Help ✎

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  1. A quadrilateral labeled C and a triangle labeled D. The base of the triangle is the same length as the top side of the C so that the triangle aligns on top. C is labeled on the bottom side and the right side with 2.5 cm with a dotted line connecting the top and bottom sides at right angles which is 2 cm. The triangle's right side is 2.5 cm and a dotted line perpendicular to the base extends to the top vertex and is 2.2 cm.

Examine each complex shape in terms of each individual shape within the entire structure and add up the areas to get the total area of Manuel's shapes.

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    Make sure to remember formulas for calculating area:
    Square: 

    Trapezoid: 

    Triangle: 

    square cm

    Be sure to know why this is the answer from the given measurements.
    Now try solving for part (b).

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