43. A rectangle has perimeter 40 cm and base 12 cm. What is its area?

    Find the area of each shaded figure.

44. compact disc

    

45. drafting triangle

    

46. picture frame

    

47. 1. Reasoning Can you use the formula for the perimeter of a rectangle to find the perimeter of any square? Explain.
    2. Can you use the formula for the perimeter of a square to find the perimeter of any rectangle? Explain.
    3. Use the formula for the perimeter of a square to write a formula for the area of a square in terms of its perimeter.

48. Estimation On an art trip to England, a student sketches the floor plan of the main body of Salisbury Cathedral. The shape of the floor plan is called the building's “footprint.” The student estimates the dimensions of the cathedral on her sketch below. Use the student's lengths to estimate the area of Salisbury Cathedral's footprint.

    
    Image Long Description

49. Coordinate Geometry The endpoints of a diameter of a circle are A(2, 1) and B(5, 5). Find the area of the circle in terms of π.
50. Algebra A rectangle has a base of x units. The area is ( 4 x 2 − 2 x ) open 4 , x squared , minus 2 x close  square units. What is the height of the rectangle in terms of x?
    1. ( 4 − x )  units open 4 minus x close , units
    2. ( x − 2 )  units open x minus 2 close , units
    3. ( 4 x 3 − 2 x 2 )  units open 4 , x cubed , minus 2 , x squared , close , units
    4. ( 4 x − 2 )  units open 4 x minus 2 close , units

Coordinate Geometry Graph each rectangle in the coordinate plane. Find its perimeter and area.

51. A ( − 3 , 2 ) , B ( − 2 , 2 ) , C ( − 2 , − 2 ) , D ( − 3 , − 2 ) eh open negative 3 comma 2 close comma b open negative 2 comma 2 close comma c open negative 2 comma negative 2 close comma d open negative 3 comma negative 2 close
52. A ( − 2 , − 6 ) , B ( − 2 , − 3 ) , C ( 3 , − 3 ) , D ( 3 , − 6 ) eh open negative 2 comma negative 6 close comma b open negative 2 comma negative 3 close comma c open 3 comma negative 3 close comma d open 3 comma negative 6 close
53. The surface area of a three-dimensional figure is the sum of the areas of all of its surfaces. You can find the surface area by finding the area of a net for the figure.
    1. Draw a net for the solid shown. Label the dimensions.
    2. What is the area of the net? What is the surface area of the solid?

    

54. Coordinate Geometry On graph paper, draw polygon ABCDEFG with vertices A(1, 1), B(10, 1), C(10, 8), D(7, 5), E(4, 5), F(4, 8), and G(1, 8). Find the perimeter and the area of the polygon.

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