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Homework Practice

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Area: Practice 4

Section A: Core Practice

Question 1mcq
A composite figure is made from a rectangle and a right triangle. What is the best way to find its area?
A.Use only the longest side.
B.Split the shape into familiar rectangles and triangles, then add their areas.
C.Assume every composite shape is a square.
D.Add all side lengths.
Question 2mcq
Two figures have the same perimeter. Must they have the same area?
A.Yes, perimeter and area are always equal.
B.Yes, if both are drawn on paper.
C.No, equal perimeters do not always mean equal areas.
D.No, area is always larger than perimeter.
Question 3mcq
Find the area of a triangle with base 1515 units and height 88 units.
A.6565 square units
B.120120 square units
C.2323 square units
D.6060 square units
Question 4mcq
Find the area of a triangle with base 77 units and height 1414 units.
A.2121 square units
B.9898 square units
C.4949 square units
D.5454 square units
Question 5mcq
Find the area of a rectangle 1212 units long and 55 units wide.
A.6060 square units
B.3030 square units
C.3434 square units
D.1717 square units
Question 6mcq
Find the area of a trapezium with parallel sides 1010 and 1616 units and height 66 units.
A.156156 square units
B.7878 square units
C.3232 square units
D.160160 square units

Section B: Reasoning and Application

Question 7mcq
Find the area of a trapezium with parallel sides 1212 and 2020 units and height 77 units.
A.3939 square units
B.240240 square units
C.112112 square units
D.224224 square units
Question 8mcq
A rhombus has diagonals 88 units and 1515 units. What is its area?
A.2323 square units
B.6060 square units
C.4646 square units
D.120120 square units
Question 9mcq
A composite figure is made from a rectangle and a right triangle. What is the best way to find its area?
A.Use only the longest side.
B.Assume every composite shape is a square.
C.Split the shape into familiar rectangles and triangles, then add their areas.
D.Add all side lengths.
Question 10mcq
Two figures have the same perimeter. Must they have the same area?
A.Yes, if both are drawn on paper.
B.No, area is always larger than perimeter.
C.No, equal perimeters do not always mean equal areas.
D.Yes, perimeter and area are always equal.
Question 11mcq
Find the area of a triangle with base 1515 units and height 88 units.
A.6060 square units
B.120120 square units
C.6565 square units
D.2323 square units
Question 12mcq
Find the area of a triangle with base 77 units and height 1414 units.
A.5454 square units
B.9898 square units
C.4949 square units
D.2121 square units