The area of a rhombus is $84m^2$. If its perimeter is 40m, then find its altitude.
View full solution →Question types
Mensuration – I (Area of a Trapezium and a Polygon) question types
52 questions across 4 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
52
Questions
4
Question groups
5
Question types
Sample Questions
Mensuration – I (Area of a Trapezium and a Polygon) questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
In exchange of a square plot one of whose sides is $84m,$ a man wants to buy a rectangular plot $144m$ long and of the same area as of the square plot. Find the width of the rectangular plot.
View full solution →A field in the form of a rhombus has each side of length $64m$ and altitude $16m.$ What is the side of a square field which has the same area as that of a rhombus$?$
View full solution →The area of a rhombus is $240\ cm^2$ and one of the diagonal is $16\ cm$. Find another diagonal.
View full solution →Find the area of the field in the form of a rhombus, if the length of each side be $14\ cm$ and the altitude be $16\ cm.$
View full solution →The area of a trapezium is $1586\ cm^2$ and the distance between the parallel sides is $26\ cm$. If one of the parallel sides is $38 \ cm,$ find the other.
View full solution →Top surface of a table is trapezium in shape. Find its area if its parallel sides are $1\ m$ and $1.2\ m$ and perpendicular distance between them is $0.8\ m.$
View full solution →Find the altitude of a trapezium whose area is $65\ cm^2$ and whose bases are $13\ cm$ and $26\ cm.$
View full solution →A plot is in the form of a rectangle $ABCD$ having semi-circle on $BC$ as shown in Fig. If $AB = 60m$ and $BC = 28m,$ find the area of the plot.
View full solution →The area of a rhombus is equal to the area of a triangle whose base and the corresponding altitude are $24.8\ cm$ and $16.5\ cm$ respectively. If one of the diagonals of the rhombus is $22\ cm,$ find the length of the other diagonal.
View full solution →The diameter of a wheel of a bus is $90\ cm$ which makes $315$ revolutions per minute. Determine its speed in kilometres per hour. $\Big(\text{Take }\pi=\frac{22}{7}\Big)$
View full solution →A rectangular grassy plot is $112m$ long and $78m$ broad. It has a gravel path $2.5m$ wide all around it on the side. Find the area of the path and the cost of constructing it at $Rs. 4.50$ per square metre.
View full solution →Find the area of the field shown in Fig. by dividing it into a square, a rectangle and a trapezium.
Find the area enclosed by the following figures as the sum of the areas of a rectangle and a trapezium:
Find the area of a trapezium whose parallel sides are $25\ cm, 13\ cm$ and the other sides are $15\ cm$.
View full solution →The area of a trapezium is $91cm^2$ and its height is $7\ cm$. If one of the parallel sides is longer than the other by $8\ cm$, find the two parallel sides.
View full solution →A playground has the shape of a rectangle, with two semi-circles on its smaller sides as diameters, added to its outside. If the sides of the rectangle are $36\ m$ and $24.5m$, find the area of the playground. $\Big(\text{Take }\pi=\frac{22}{7}\Big )$
View full solution →Find the area of a rhombus whose side is $6\ cm$ and whose altitude is $4\ cm$. If one of its diagonals is $8\ cm$ long, find the length of the other diagonal.
View full solution →Find the area of Fig. as the sum of the areas of two trapezium and a rectangle.
Find the area enclosed by the following figures as the sum of the areas of a rectangle and a trapezium:
Generate a Mensuration – I (Area of a Trapezium and a Polygon) paper free
Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.