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### Grade 7 - Mathematics9.23 Area of a Trapezoid - I

 Example: The length of the parallel sides of a trapezoid are 10 cm and 7 cm. The distance between this is 4 cm. Find its area. Solution: Given that, a = 10 cm, b = 7 cm and h = 5 cm. The equation for the area of trapezoid is (A) = 1/2 * (a+b)*h. = 1/2 * (10+7)*4 = 1/2 * 17 * 4 = 17 * 2 = 34 sq cm. Directions: Read the above example carefully and answer the following questions. Draw 10 trapezoid with different lengths and label its sides. Also measure the distance between the parallel sides.
 Q 1: The length of the parallel sides of a trapezoid are 12.25 cm and 7.75 cm. The distance between this is 5 cm. Find its area.65 sq cm55 sq cm50 sq cm25 sq cm Q 2: The length of the parallel sides of a trapezoid are 9 cm and 7 cm. The distance between this is 4 cm. Find its area.16 sq cm22 sq cm32 sq cm42 sq cm Q 3: The length of the parallel sides of a trapezoid are Ö169 cm and Ö196 cm. The distance between this is Ö64 cm. Find its area.256 sq cm108 sq cm246 sq cm130 sq cm Q 4: The length of a parallel side of a trapezoid is 7 cm. The distance between this is 3 cm. Find the length of the other parallel side if its area is given by 18 sq cm.6 cm8 cm5 cm3 cm Q 5: The length of the parallel sides of a trapezoid are (14 x 12)/8 cm and (4 x 10)/2 cm. The distance between this is 16 cm. Find its area.394 sq cm364 sq cm344 sq cm328 sq cm Q 6: The length of the parallel sides of a trapezoid are (152/8) cm and (112/8) cm. The distance between this is (121/11) cm. Find its area.350 sq cm355 sq cm365 sq cm363 sq cm Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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