I need help with these questions.

I need help with these questions.
Name: ______________________________ Date: _____________________ N-G EN M ATH ™ 6, UNIT 9 – AREA – UNIT REVIEW eM ATH INSTRUCTION ™, RED HOOK , NY 12571, © 2020 ® ® U NIT 9 R EVIEW N-G EN M ATH 6 F LUENCY S KILLS 1. Find the area of each of the following rectangles. Include proper units and simplify any fractions. (a) (b) (c) (d) 2. What is the shaded area in the diagram shown below? Show how you found your answer and use proper units. N-G EN M ATH ™ 6, UNIT 9 – AREA – UNIT REVIEW eM ATH INSTRUCTION ™, RED HOOK , NY 12571, © 2020 ® ® 3. A floor plan is shown below for a bedroom. Find the area of the floorplan. Show how you arrived at your answer. 4. Find the area of each of the following triangles. Use proper units in your answers. (a) (b) 5. Find the area of the trapezoid shown below. Show how you found your answer and use appropriate units. N-G EN M ATH ™ 6, UNIT 9 – AREA – UNIT REVIEW eM ATH INSTRUCTION ™, RED HOOK , NY 12571, © 2020 ® ® 6. For each object described below, find its area by first plotting on the grid given. (a) Rectangle ABCD has vertices at: , , , and . (b) Triangle EFG has vertices at: , , and . (c) Trapezoid ABCD has vertices at: , , , and . (d) Parallelogram MNPQ has vertices at: , , , and N-G EN M ATH ™ 6, UNIT 9 – AREA – UNIT REVIEW eM ATH INSTRUCTION ™, RED HOOK , NY 12571, © 2020 ® ® 7. A rectangle has a width of 5 inches and a length given by the expression 2 x  as shown. (a) If 7 x  then determine both the perimeter and area of the rectangle. Use proper units. (b) Find algebraic expressions for both the perimeter and the area based on the variable x. Perimeter: Area: 8. Find the area of the parallelogram below in two ways: (a) By summing the areas of the two triangles and one rectangle. (b) By using the area formula for a parallelogram. N-G EN M ATH ™ 6, UNIT 9 – AREA – UNIT REVIEW eM ATH INSTRUCTION ™, RED HOOK , NY 12571, © 2020 ® ® M ULTIPLE C HOICE P RACTICE 9. Which of the following is the area of the rectangle shown below? (1) 13.8 sq. cm (2) 14.26 sq. cm (3) 15.12 sq. cm (4) 16.4 sq. cm 10. A triangle has a height that is 3 inches less than twice its base. Its base is 8 inches long. Which of the following is the area of the triangle? (1) 52 square inches (3) 104 square inches (2) 76 square inches (4) 152 square inches 11. Which of the following is the area of the triangle shown below? (1) 1 2 8 square feet (2) 9 square feet (3) 3 5 12 square feet (4) 18 square feet 12. A right triangle (shown dashed) is cut away from a square as shown. Which of the following is the area of the remaining pentagon? (1) 250 square centimeters (2) 280 square centimeters (3) 300 square centimeters (4) 350 square centimeters N-G EN M ATH ™ 6, UNIT 9 – AREA – UNIT REVIEW eM ATH INSTRUCTION ™, RED HOOK , NY 12571, © 2020 ® ® 13. If a square has a common side length of s then which of the following formulas correctly gives its area, A ? (1) 2 A s  (3) 4 A s  (2) 2 A s  (4) 3 A s  14. A rectangle has a length given by L and a width given by W . Which of the following is not a correct formula for the perimeter, P , of this rectangle? (1) 2 P LW  (3)   2 P L W   (2) 2 2 P L W   (4) P L L W W     F REE R ESPONSE P RACTICE 15. A rectangle has a width of 2 feet and a length of 3 feet. Find its area in units of square inches . Show how you arrived at your answer. 16. Find the area of the trapezoid shown pictured below. Show how you found your answer. N-G EN M ATH ™ 6, UNIT 9 – AREA – UNIT REVIEW eM ATH INSTRUCTION ™, RED HOOK , NY 12571, © 2020 ® ® 17. A picture frame, shown shaded, has an outside length of 25 centimeters and outside width of 15 centimeters. The picture frame has a width of 3 cm on all sides as indicated. (a) If a picture is placed inside of the frame, what is the maximum area of the picture that someone can view? (b) What is the area of the picture frame itself, which is shaded in the above diagram? 18. Landry is planting a garden that has a triangular shape. To model it, they plot the triangle on a grid where each linear grid unit represents a foot. Their triangle has vertices at the points (3, 8) ,   9, 7  , and   5, 7   (a) Plot the vertices and draw the triangle on the given grid. (b) Landry has enough straw to cover 100 square feet of area within the garden. Does Landry have enough to cover their garden? Justify. N-G EN M ATH ™ 6, UNIT 9 – AREA – UNIT REVIEW eM ATH INSTRUCTION ™, RED HOOK , NY 12571, © 2020 ® ® 19. A rectangle that measures 6 inches by 10 inches has a right triangle cut from it in order to create a trapezoid, as shown. (a) What is the area of the trapezoid? Show how you arrived at your answer. (b) Determine the percent of the area of the original rectangle that was removed in order to form the trapezoid. Show how you found your answer. 20. A rectangle has a length of 20 feet and an unknown width. The area of the rectangle is 155 square feet. (a) Set up and solve an equation to find the unknown width, w . Express your answer as a mixed number. (b) Find the perimeter of the rectangle. Express your answer as a mixed number.