Question
You are making a table in the shape of a parallelogram to replace an old 24-inch by 15-inch rectangular table. You want the areas of two tables to be equal. The base of the parallelogram is 20 inches. What should the height be?
- 32 inches
- 12.5 inches
- 18 inches
- 16 inches
The correct answer is: 18 inches
18 inches
Area of rectangular table = 24 x 15 sq inch. = 360 sq in
Base of parallelogram = 20 inch.
Area of parallelogram = base x height
=> 360 = 20 x height
=> 360/20 = height
=> height = 18 in
Related Questions to study
Find the area of a right triangle with side lengths 12 centimeters, 35 centimeters, and 37 centimeters. Then find the length of the altitude drawn to the hypotenuse.
Find the area of a right triangle with side lengths 12 centimeters, 35 centimeters, and 37 centimeters. Then find the length of the altitude drawn to the hypotenuse.
Find the area of the parallelogram 𝐴𝐵𝐶𝐷 where 𝐴𝐵=8.3cm. (Unit = square cm.)
Find the area of the parallelogram 𝐴𝐵𝐶𝐷 where 𝐴𝐵=8.3cm. (Unit = square cm.)
Given that 𝐴𝐵𝐶𝐷 is a parallelogram and 𝐸𝐹=6cm, find its area. (Unit = square cm.)
A parallelogram can be thought of as a combination of 2 triangles of equal area .
Area of 1 triangle = ½ x base x height.
Area of 2 triangles = 2x ½ x base x height = base x height.
Given that 𝐴𝐵𝐶𝐷 is a parallelogram and 𝐸𝐹=6cm, find its area. (Unit = square cm.)
A parallelogram can be thought of as a combination of 2 triangles of equal area .
Area of 1 triangle = ½ x base x height.
Area of 2 triangles = 2x ½ x base x height = base x height.
Find the area of an equilateral triangle with side equal to 10 cm. (Unit = square cm.)
Find the area of an equilateral triangle with side equal to 10 cm. (Unit = square cm.)
Find the value of x.
Find the value of x.
Find the area of the triangle given below: (Unit = square cm)
Find the area of the triangle given below: (Unit = square cm)
Find the area of the figure.
Find the area of the figure.
The given figure shows a parallelogram inside a rectangle. Determine the area inside the rectangle that is not occupied by the parallelogram. (Unit = square cm.)
The given figure shows a parallelogram inside a rectangle. Determine the area inside the rectangle that is not occupied by the parallelogram. (Unit = square cm.)
Given that 𝐴𝐵𝐶𝐷 is a parallelogram and 𝐷𝐸 = 13 cm, find the length of 𝐷𝐹. (Unit = cm.)
Given that 𝐴𝐵𝐶𝐷 is a parallelogram and 𝐷𝐸 = 13 cm, find the length of 𝐷𝐹. (Unit = cm.)
If 𝐶𝐵 = 23 cm, 𝐴𝐸 = 16 cm, and 𝐴𝐹 = 20 cm, find the area of the parallelogram 𝐶𝐵𝐴𝐷 and then determine the length of 𝐶𝐷 to the nearest hundredth.
If 𝐶𝐵 = 23 cm, 𝐴𝐸 = 16 cm, and 𝐴𝐹 = 20 cm, find the area of the parallelogram 𝐶𝐵𝐴𝐷 and then determine the length of 𝐶𝐷 to the nearest hundredth.
In Figure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.
In Figure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.
Find the area of the following figure: (Unit = square m.)
Find the area of the following figure: (Unit = square m.)
Find the area of the following figure: (Unit = square m.)
Find the area of the following figure: (Unit = square m.)
Triangle ABC shown below is inscribed inside a square of side 20 cm. Find the area of the triangle. (Unit = square cm.)
Triangle ABC shown below is inscribed inside a square of side 20 cm. Find the area of the triangle. (Unit = square cm.)
A parking lot is constructed in the shape of a parallelogram. What is the area of the parking lot? (Unit = square ft.)
A parallelogram can be thought of as a combination of 2 triangles of equal area .
Area of 1 triangle = ½ x base x height.
Area of 2 triangles = 2x ½ x base x height = base x height.
A parking lot is constructed in the shape of a parallelogram. What is the area of the parking lot? (Unit = square ft.)
A parallelogram can be thought of as a combination of 2 triangles of equal area .
Area of 1 triangle = ½ x base x height.
Area of 2 triangles = 2x ½ x base x height = base x height.