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1.6.1: Preparation N.6

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    Here are some formulas for areas of some basic geometric shapes:

    Image of a square where each side represents “s”, as described in the following formula: A = s^2 Image of a rectangle where the width represents “w”, and the length represents “l”, as described in the following formula: A = l × w Image of a parallelogram where the height represents “h”, and the base represents “b”, as described in the following formula: A = b × h Image of a triangle where the height represents “h”, and the base represents “b”, as described in the following formula: A = 1 ÷ 2 × b × h Image of a trapezoid where the height represents “h”, the base represents “b” and the top side represents “a”, as described in the following formula: A = (a + b) ÷ 2 × h Image of a circle where each side represents “r”, as described in the following formula: A = π × r^2

    (1) (a) Calculate the area of a circular tabletop whose diameter is 1.2 meters. Round to the nearest hundredth square meter.

    (b) What would be the area of a square tabletop with a side length of 1.2 meters? Round to the nearest hundredth square meter.

    (c) Which tabletop would require more paint to cover it?

    A little research is required to prepare for the next collaboration. Collect the following information in your notebook and have it at hand for Collaboration N.6.

    (2) What does the “Great Pacific Garbage Patch” refer to?

    (3) What is the distance (in kilometers) between Alaska and Australia?

    (4) What is the area of Texas in square kilometers (km2)?

    (5) What is the area of the Pacific Ocean (in km2)?

    After Preparation N.6 (survey)

    You should be able to do the following things for the next collaboration. Rate how confident you are on a scale of 1–5 (1 = not confident and 5 = very confident).

    Before beginning Collaboration N.6, you should understand the concepts and demonstrate the skills listed below:

    Skill or Concept: I can … Rating from 1 to 5
    measure lengths.  
    compute areas of circles and rectangles.  
    perform computations with large numbers.  

    This page titled 1.6.1: Preparation N.6 is shared under a CC BY-NC 4.0 license and was authored, remixed, and/or curated by Carnegie Math Pathways (WestEd) via source content that was edited to the style and standards of the LibreTexts platform.