Use the image to answer the question.
An illustration shows a trapezoid with top side as 6 centimeters and bottom side as 10 centimeters. Two perpendicular dotted lines extend from the top vertices to the bottom side and are labeled 6 centimeters each. The two perpendicular lines are denoted by 4 right angle symbols.
What is the area of the quadrilateral?
(1 point)
cm2
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To find the area of the quadrilateral, we can split it into two triangles. The area of a trapezoid can be calculated using the formula A = (a + b) * h / 2, where a and b are the lengths of the parallel sides and h is the height (the distance between the two parallel sides).
In this case, the lengths of the parallel sides (top and bottom) are 6 cm and 10 cm, respectively. The height of the trapezoid is 6 cm.
So, the area of the quadrilateral is:
A = (6 + 10) * 6 / 2
A = 16 * 6 / 2
A = 96 / 2
A = 48 cm^2
Therefore, the area of the quadrilateral is 48 square centimeters.
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To find the area of the trapezoid, we can divide it into two triangles. The formula to calculate the area of a trapezoid is A = (a + b) * h / 2, where a and b are the lengths of the parallel sides and h is the height (distance between the parallel sides).
In this case, the lengths of the parallel sides are 12 inches and 10 inches, and the height of the trapezoid is 8 inches.
Therefore, the area of the quadrilateral is:
A = (12 + 10) * 8 / 2
A = 22 * 8 / 2
A = 176 / 2
A = 88 in^2
Therefore, the area of the quadrilateral is 88 square inches.
To find the area of the parallelogram, we can split it into two triangles. The area of a parallelogram can be calculated using the formula A = base * height, where the base is the length of one of the sides and the height is the perpendicular distance between the base and the opposite side.
In this case, the base of the parallelogram is given as 10 centimeters, and the height (perpendicular distance) from the top left vertex to the bottom side is given as 8 centimeters.
Therefore, the area of the quadrilateral is:
A = 10 * 8
A = 80 cm^2
Therefore, the area of the quadrilateral is 80 square centimeters.
To find the area of the parallelogram, we can split it into two triangles. The area of a parallelogram can be calculated using the formula A = base * height, where the base is the length of one of the sides and the height is the perpendicular distance between the base and the opposite side.
In this case, the base of the parallelogram is given as 14 inches, and the height (perpendicular distance) from the bottom right vertex to the top side is given as 3 inches.
Therefore, the area of the quadrilateral is:
A = 14 * 3
A = 42 in^2
Therefore, the area of the quadrilateral is 42 square inches.
To find the area of the parallelogram, we can split it into two triangles. The area of a parallelogram can be calculated using the formula A = base * height, where the base is the length of one of the sides and the height is the perpendicular distance between the base and the opposite side.
In this case, the base of the parallelogram is given as 7 centimeters, and the height (perpendicular distance) from the top left vertex to the bottom side is given as 12 centimeters.
Therefore, the area of the quadrilateral is:
A = 7 * 12
A = 84 cm^2
Therefore, the area of the quadrilateral is 84 square centimeters.
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Use the image to answer the question.
An illustration shows a trapezoid with the longer side on the left labeled as 12 inches. The opposite parallel side is 10 inches. Two perpendicular dotted lines extend from the vertices at either end of the 10 inch side to the longer side, and are labeled 8 inches. The two perpendicular lines are denoted by 4 right angle symbols.
What is the area of the quadrilateral?
(1 point)
in.2
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Use the image to answer the question.
An illustration shows a parallelogram with top side as 10 centimeters. A perpendicular dotted line from top left vertex to the bottom side is 8 centimeters. The perpendicular line makes one right angle symbol with top side and two right angle symbols with the bottom side.
What is the area of the quadrilateral?
(1 point)
cm2
Skip to navigation
Use the image to answer the question.
An illustration shows a parallelogram with bottom side as 14 inches. A perpendicular dotted line from the bottom right vertex to the top side is 3 inches. The perpendicular line is denoted by two right angle symbols.
What is the area of the quadrilateral?
(1 point)
in.2