EASY
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The cross-section of a canal is a trapezium in shape. If the canal is 10 m wide at the top, 6 m wide at the bottom and the area of cross-section is 72 sq.m, determine its depth in metre.

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Important Questions on Mensuration

EASY
What is the area (in cm2) of an equilateral triangle whose side is 12 cm?
MEDIUM

The three sides of a triangle are 15 cm, 36 cm, and 39 cm long. A small triangle is formed by joining the mid points of the three sides of this triangle. The area of small triangle will be_____ cm2  

MEDIUM
A rectangular park 60 m long and 40 m wide has two pathways of equal width running in the longitudinal and transverse direction and crossing each other at right angles in the middle of the park. The rest of the park is used as lawn. If the area of the lawn is 2109 sq. m, then what is the width of the pathway?
 
MEDIUM

In ABC, AD is the median and G is a point on AD such that AG:GD=2:1. Then area (BDG):area (ABC) is equal to:

EASY
If the sides of triangle are 4,5 and 6 cm . Then the area (in sq cm) of triangle is
MEDIUM
The respective ratio between the length and breadth of a rectangle is 8:5 and its perimeter is 208 cm. If the side of the square is 40% less than the breadth of the rectangle, what is the perimeter of the square?
HARD
What will be the area of triangle whose vertices are (1, 2), (-4, -3) and (4, 1)?
EASY
The length of the diagonals of a rhombus are 16 cm and 12 cm. Its area is: 
MEDIUM
Consider four triangles having sides 5,12,9, 5,12,11,5,12,13 and 5,12,15 . Among these the triangle having maximum area has sides
EASY
A triangular corner is cut from a rectangular piece of paper and the resulting pentagon has sides 5,6,8,9,12 in some order. The ratio of the area of the pentagon to the area of the rectangle is-
MEDIUM
Among all the parallelograms whose diagonals are 10 and 4, the one having maximum area has its perimeter lying in the interval
EASY
The length of parallel sides of a trapezium are 51 cm and 21 cm, and that of each of the other two sides is 39 cm. What is the area (in cm2) of the trapezium?
EASY
If the perimeter of a square plot is the same as that of rectangular plot with side 35 m and 15 m. The side of square plot is:
HARD

The length of rectangle is 80% of diagonal of square of area 1225 m2, then find area of rectangle, if it's perimeter is 942 m.

MEDIUM
The diagonal of a square A is (a+b) units. What is the area (in square units) of the square drawn on the diagonal of square B whose area is twice the area of A?
EASY
Triangle PDC is drawn inside the square ABCD of side 24 cm where P lies on AB. What is the area of the triangle?
EASY
The length of each equal side of an isosceles triangle is 15 cm and the included angle between those two sides is 90°, Find the area of the triangle.
MEDIUM
The length of each equal side of an isosceles triangle is 10 cm and the included angle between those two sides is 45°.Find the area of the triangle.
EASY
Two parallel sides of a trapezium are 29 cm and 21 cm, Non-parallel sides are equal and each is of length 8.5 cm. What is the area of the trapezium ?
EASY

Question Image

What is the area of this trapezoidal garden (All measurements are in cm)? 

1. 60 sq.cm
2. 180 sq.cm
3. 210 sq.cm 
4. 240 sq.cm