Area of trapeziums
Interactive practice questions
Two identical trapezia are placed to make a parallelogram.
Use the picture to answer the following questions about the area of the parallelogram and one of the trapezia.
Two identical trapezia each has a shorter base of $7$7 mm and a longer base of $10$10 mm. The parallel bases are each marked with a single arrowhead. The height of each trapezium is $2$2 mm as indicated by the dashed line with a small square. The left trapezium is oriented with the shorter base at the top, while the right trapezium is inverted, with the shorter base at the bottom. The slanted sides of both trapezia are connected, forming a parallelogram where the top and bottom bases of the trapezia create the parallel sides of the parallelogram.
Find the area of the entire parallelogram.
Find the area of one of the trapezia.
| area of trapezium | $=$= | $\frac{1}{2}$12 $\times$× area of parallelogram | mm2 | |
| area of trapezium | $=$= | $\frac{1}{2}\times\editable{}$12× | mm2 | Fill in the value for the area of the parallelogram. |
| area of trapezium | $=$= | $\editable{}$ | mm2 | Complete the multiplication |
Two identical trapezia are used to make a rectangle.
Use the picture to answer the following questions about the area of the rectangle and one of the trapezia.
Two identical trapezia are placed to make a parallelogram.
Use the picture to answer the following questions about the area of the parallelogram and one of the trapezia.
Complete the table to find the area of the trapezium shown.