Cara and Beejal make a poster for school. The poster is in the shape of a rectangle. The left side of the poster measures 7 units; the top side of the poster measures 6 units. What is the area in square units of the completed poster?(1 point)
Responses
13 square units
13 square units
48 square units
48 square units
26 square units
26 square units
42 square units
42 square units
To find the area of a rectangle, you simply multiply the length by the width. In this case, 7 units x 6 units = 42 square units.
Ja’Miles designs a sign for a store in the shape of a triangle. His design is 7.5 square feet in area, and the triangle has a height of 2.5 feet. What is the length of the base of his sign?(1 point)
Responses
6 feet
6 feet
0.6 feet
0.6 feet
3 feet
3 feet
10 feet
6 feet
To find the base of a triangle when you know the area and height, you use the formula:
Area = (1/2) x base x height
Substitute the given values:
7.5 = (1/2) x base x 2.5
7.5 = (5/2) x base
base = 7.5 / (5/2)
base = 7.5 x 2 / 5
base = 15 / 5
base = 3 feet
Therefore, the length of the base of Ja'Miles' sign is 3 feet.
Area and Perimeter Unit Test
3 of 153 of 15 Items
Question
Use the image to answer the question.
An illustration shows a rectangle extending upward on the top left and top right sides forming two more rectangles of varying width and length. The dimensions are as follows: The bottom of the rectangle is 7 miles. The extended left side is 6 miles. The vertical height of the left side rectangular extension is 3 miles. The vertical and horizontal lengths of the right side rectangular extension is 1 mile each. There are six right angle symbols at the vertices of the polygon.
What is the area of the composite figure?
(1 point)
Responses
21 square miles
21 square miles
25 square miles
25 square miles
28 square miles
28 square miles
31 square miles
To find the area of the composite figure, we first need to calculate the areas of each individual rectangular component and then add them together.
For the original rectangle:
Area = 7 miles * 6 miles = 42 square miles
For the left side rectangular extension:
Area = 1/2 * 6 miles * 3 miles = 9 square miles
For the right side rectangular extension:
Area = 1 mile * 1 mile = 1 square mile
Adding all three areas together:
42 square miles + 9 square miles + 1 square mile = 52 square miles
Therefore, the area of the composite figure is 52 square miles.