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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-15-TRP-01
Trapezium Area & Perimeter - Assignment
Chapter: Perimeter & Area
Topic: 2: Area of Trapezium and Perimeter Calculations
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
The area of a trapezium is:
  • A.$\tfrac12(a+b)h$
  • B.$ab$
  • C.$\tfrac12 ab$
  • D.$(a+b)h$
2.
The perimeter is the total length of the:
  • A.area
  • B.boundary
  • C.diagonal
  • D.height
3.
The parallel sides of a trapezium are:
  • A.$a$ and $b$
  • B.the legs
  • C.the diagonals
  • D.the heights
4.
The height is the ___ distance between the parallel sides.
  • A.slanting
  • B.perpendicular
  • C.horizontal
  • D.diagonal
5.
The perimeter of a square of side $s$ is:
  • A.$s^2$
  • B.$4s$
  • C.$2s$
  • D.$s+4$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the area of a trapezium, parallel sides $6$ and $10$, height $4$.
7.
Find the perimeter of a square of side $9$.
8.
Find the perimeter of a rectangle $8$ by $5$.
9.
Find the perimeter of an equilateral triangle of side $7$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the area of a trapezium, parallel sides $8$ cm and $12$ cm, height $5$ cm.
11.
The area of a trapezium is $60$ cm$^2$ with parallel sides $7$ and $13$. Find the height.
12.
Find the perimeter of a trapezium with sides $5, 6, 7, 8$.
13.
Find the area of a trapezium, parallel sides $9$ and $11$, height $10$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A trapezium-shaped field has parallel sides $30$ m and $50$ m and height $20$ m. Find its area and the cost of levelling at Rs $8$ per m$^2$.
15.
The area of a trapezium is $180$ cm$^2$, its height is $12$ cm and one parallel side is $18$ cm. Find the other parallel side.

Answer Key

Section A — Multiple Choice Questions
  1. (A) $\tfrac12(a+b)h$
  2. (B) boundary
  3. (A) $a$ and $b$
  4. (B) perpendicular
  5. (B) $4s$
Section B — Short Answer (2 marks)
  1. $32$.
  2. $36$.
  3. $26$.
  4. $21$.
Section C — Short Answer (3 marks)
  1. $50$ cm$^2$.
  2. $6$ cm.
  3. $26$.
  4. $100$.
Section D — Long Answer (5 marks)
  1. Area $800$ m$^2$; cost Rs $6400$.
  2. $12$ cm.
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