Attempt following question by selecting a choice to answer.
B
What are the lengths of the parallel sides of the trapezoid with an area of
100 cm2, if one of the parallel sides is three times as long as the other and the height of the trapezoid is
10 cm?f BA.
B2 cm, 6 cm
B.
B5 cm, 15 cm
C.
B5 cm, 5 cm
D.
B5 cm, 10 cm
B
B
Step 1: Let, x be the length of the one of the parallel sides.
Step 2: The length of the parallel sides are x cm and 3x cm.[Since, the length of one of the parallel sides is three times the other.]
Step 3: The area of the trapezoid = 12 × 10 × (x + 3x)[Substitute the value of height of the trapezoid.]
Step 4: 12 × 10 × (x + 3x) = 100[Given, area of trapezoid = 100 cm2.]
Step 6: 10 × (4x) = 200[Multiply each side by 2.]
Step 8: 4x = 20[Divide each side by 10.]
Step 9: x = 5 cm[Divide each side by 4.]
Step 10: The lengths of the parallel sides are 5 cm and 3 × 5 = 15 cm.