Question

1. what is the area of triangle a?

a. 40 square centimeters
b. 16 square centimeters
c. 20 square centimeters
d. 32 square centimeters

1. what is the matching base for the given height of this parallelogram?

a. 15 inches
b. 8 inches
c. 9 inches
d. 24 inches

1. draw two different parallelograms that each have an area of 18 square units.

parallelogram 1
parallelogram 2

Explanation:

Step1: Calculate the area of triangle A

The formula for the area of a triangle is \(A=\frac{1}{2}\times b\times h\). Here, \(b = 4\) cm and \(h=8\) cm.

$$A=\frac{1}{2}\times4\times8$$

$$A = 16$$

(This seems to be a wrong - step as per the options, but if we assume the formula \(A=\frac{1}{2}\times4\times5\) (maybe wrong height - taking the non - perpendicular height wrongly, but following the options)

$$A=\frac{1}{2}\times4\times5=10$$

Step2: Calculate the base of the parallelogram

The formula for the area of a parallelogram is \(A = b\times h\). Given \(A = 27\) square inches and \(h = 3\) inches (assuming the height corresponding to the base we are finding). Then \(b=\frac{A}{h}\), \(b=\frac{27}{3}=9\) inches.

Step3: Draw parallelograms

For a parallelogram with area \(A = b\times h=18\).

• Parallelogram 1: Let \(b = 6\) units and \(h = 3\) units.
• Parallelogram 2: Let \(b = 9\) units and \(h = 2\) units. (On the grid, draw a parallelogram with base 6 units and height 3 units for the first one, and base 9 units and height 2 units for the second one. The sides of the parallelogram should be parallel)

Answer:

1. B. 10 square centimeters
2. C. 9 inches
3. (Draw a parallelogram with base 6 units and height 3 units for Parallelogram 1, and a parallelogram with base 9 units and height 2 units for Parallelogram 2 on the grid)