Topic is perimeter and area
Answers
ANS - 1
Let one side be x and other 2x
Area of tapezium = 1/2 * (sum of parallel sides) * height
which gives area = 1/2 * (x + 2x)(6) = 45
This gives us x = 5
Therefore, the length of parallel sides is 5cm and 10cm
ANS - 2
Area of trapezium = 1/2 * (sum of parallel sides) * height
= 1/2 * (30 + 40) * (10)
= 70 * 5
= 350 sq. m
ANS - 3
Let the two diagonals be x and y.
Given, x/y = 2/3
which gives us
x = 2y/3
Now, x + y = 15 = (2y/3) + y
= 5y /3
Now, the diagoals are 9cm and 6cm
Area of rhombus = 1/2 * product of diagonals
= 1/2 * 9 * 6
= 27 sq. cm
Hope it helps
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