+91-8076753736 [email protected]

-->

Constructions

Question

Wired Faculty App

In the given figure, ABCD is a parallelogram. F and E are mid-points of CD and AB respectively. If area (BEC) = a sq units, then the area (ABCD) (in sq. units) is equal to:

2a
a
3a
4a

Solution

D.

4a

Some More Questions From Constructions Chapter

Prove that of all parallelograms of which the sides are given, the parallelogram which is a rectangle, has the greatest area.

In the figure, diagonals AC and BD of a trapezium ABCD with AB || CD intersect each other at O. Show that ar(Δ AOD) = ar(Δ BOC).

Parallelograms on the same base and between same parallels are equal in area. Prove this.

ABCD is a quadrilateral and BD is one of its diagonals as shown in figure. Show that ABCD is a parallelogram and find its area.

In the given figure, AB | | DC. Show that ar(BDE) = ar(ACED).

In the given figure, ABED is a parallelogram in which DE = EC. Show that area (ABF) = area (BEC)

In the following figure, ABCD is a parallelogram and EFCD is a rectangle. Also, AL ⊥ DC. Prove that
(i) ar(ABCD) = ar(EFCD)
(ii) ar(ABCD) = DC x AL.

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation