Example 1 (Page 176) The area of a trapezium shaped field is 480 𝑚^2, the distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the other parallel side.
Given,
Area of Trapezium = 480 m2
Height = h = 15 m
Length of one Parallel side = a = 20 m
Let the length of other Parallel side = b cm
Now,
Area of trapezium = 1/2 (a + b) × h
480 = 1/2 (20 + b) × 15
480 × 2 = (20 + b) × 15
960 = (20 + b) × 15
960 = 300 + 15b
960 – 300 = 15b
660 = 15b
660/15 = b
132/3 = b
44 = b
b = 44
∴ Length of other Parallel side = 44 m
Example 2 (Page 177) The area of a rhombus is 240 〖𝑐𝑚〗^2 and one of the diagonals is 16 cm. Find the other diagonal.
Given,
Area of rhombus = 240 cm2
Length of one diagonal = d1 = 16 cm
Let length of other diagonal = d2 = x cm.
Now,
Area of rhombus = 1/2 × d1 × d2
240 = 1/2 × 16 × x
240/8 = x
30 = x
x = 30 cm
∴ The length of other diagonal = 30 cm.

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Hi, it looks like you're using AdBlock :(

Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.

Please login to view more pages. It's free :)

Teachoo gives you a better experience when you're logged in. Please login :)

Solve all your doubts with Teachoo Black!

Teachoo answers all your questions if you are a Black user!