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Understand Linear, Square, Cubic Measure
In the following exercises, would you measure each item using linear, square, or cubic measure?
height of a tree
length of a highway
In the following exercises, find
Use Properties of Rectangles In the following exercises, find the
The length of a rectangle is $42$ meters and the width is $28$ meters.
The length of a rectangle is $36$ feet and the width is $19$ feet.
A sidewalk in front of Kathy’s house is in the shape of a rectangle $4$ feet wide by $45$ feet long.
A rectangular room is $16$ feet wide by $12$ feet long. In the following exercises, solve.
Find the length of a rectangle with perimeter of $220$ centimeters and width of $85$ centimeters.
25 cm
Find the width of a rectangle with perimeter $39$ and length $11.$
The area of a rectangle is $2356$ square meters. The length is $38$ meters. What is the width?
62 m
The width of a rectangle is $45$ centimeters. The area is $2700$ square centimeters. What is the length?
The length of a rectangle is $12$ centimeters more than the width. The perimeter is $74$ centimeters. Find the length and the width.
24.5 in., 12.5 in.
The width of a rectangle is $3$ more than twice the length. The perimeter is $96$ inches. Find the length and the width.
Use Properties of Triangles
In the following exercises, solve using the properties of triangles.
Find the area of a triangle with base $18$ inches and height $15$ inches.
135 sq. in.
Find the area of a triangle with base $33$ centimeters and height $21$ centimeters.
A triangular road sign has base $30$ inches and height $40$ inches. What is its area?
600 sq. in.
If a triangular courtyard has sides $9$ feet and $12$ feet and the perimeter is $32$ feet, how long is the third side?
A tile in the shape of an isosceles triangle has a base of $6$ inches. If the perimeter is $20$ inches, find the length of each of the other sides.
7 in., 7 in.
Find the length of each side of an equilateral triangle with perimeter of $81$ yards.
The perimeter of a triangle is $59$ feet. One side of the triangle is $3$ feet longer than the shortest side. The third side is $5$ feet longer than the shortest side. Find the length of each side.
17 ft., 20 ft., 22 ft.
One side of a triangle is three times the smallest side. The third side is $9$ feet more than the shortest side. The perimeter is $39$ feet. Find the lengths of all three sides.
Use Properties of Trapezoids
In the following exercises, solve using the properties of trapezoids.
The height of a trapezoid is $8$ feet and the bases are $11$ and $14$ feet. What is the area?
100 sq. ft.
The height of a trapezoid is $5$ yards and the bases are $7$ and $10$ yards. What is the area?
Find the area of the trapezoid with height $25$ meters and bases $32.5$ and $21.5$ meters.
675 sq. m
A flag is shaped like a trapezoid with height $62$ centimeters and the bases are $91.5$ and $78.1$ centimeters. What is the area of the flag?
Use Properties of Circles
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