Areas of Parall...

There is a triangle ABC whose area is 264 cm². If we divide the triangle into two parts with a median AD and E is the mid pint of the median, then what will be the area of ΔBED?

In the given parallelogram ABCD, EFG is a triangle with area 10 cm², H and I are mid-points of EF and EG respectively and HI = 2 cm. Find the sum of areas of trapezium AEFD and EBCG, given that= FG.

If ABC ~ PQR, ar(ABC) = 16 cm² and ar(PQR) = 16 cm², which of the following statements is definitely true?

In parallelogram IJKL, IK is the diagonal. If the base of the △ILK is 6 cm and the height of △IJK is 4 cm, what will be the area of △ILK?

In the triangle ABC, E and F are the midpoints of sides AB and AC, respectively.



Which of the following relationships is correct if the area of EOB and the area of FOC are equal?

In the given isosceles trapezoid MNOP, QR is the median and ST = 6 cm, and the area of trapezium QROP is 27 cm². Find the area of trapezium MNRQ, if PO = 7 cm.

The area of the given parallelogram MNOP is 96 cm². MT meets QR at point S such that QS = SR. The area of △SRT is 6 cm² and of △QMS is 12 cm². Find the length of MT, if PO = 12 cm.

If the area of a trapezium-shaped field is 720 m², the distance between the two parallel sides is 20 m and the length of one of the parallel sides is 35 m, then the length of the other parallel side is

In the given figure, two lines DE and FG are parallel to AB and the three regions CDE, DFGE and FABG have equal areas. The ratio of CD to FA is equal to _____.

What is the ratio of the areas of trapezium ABCE and △BCD, if the area of △ACE is one-third of the area of △ADE and the area of parallelogram ABCD is 96 sq. units?

In the given figure, line is parallel to DC. ADC and BCD are two triangles on the same base DC. If ADC = BCD = 90°, which of the following relationships is true?

In an equilateral triangle ABC, a line DE is drawn parallel to AB that meets sides BC and AC at points D and E, respectively. The line DE divides BC in 3 : 2 i.e. BD : DC = 3 : 2. What is the ratio of area of CDE to that of area of quadrilateral ABDE?

In the given figure, F is the mid-point of side AB of the parallelogram ABCD. DF || CE and CF || DG. Find the ratio of the areas of the shaded regions to that of the trapezium GDCE.

Given in the figure, UVWX is a parallelogram, VY ⊥ UX and VZ ⊥ XW, XU = 3.5 cm and VZ = 2.5 cm. If area of the parallelogram UVWX is 56 cm², find the length of VY and XW.

In the adjoining figure, PQRS is a parallelogram and X is mid point of side QR. If SX and PQ when produced meet at point Y, then

In PQR given below,



What is the ratio of

In the given figure, ar(ABC) = ar(ABD). Which of the following relationships is correct for the lines p and q?

In the given figure, A, B, D, C, E and F are points on three lines l, m and n. If ar(ABC) = ar(ADC) = ar(AFC) = ar(AEC), then

PQRS is a quadrilateral and PQ = RS. Which of the following options is correct if ar(APQ) = ar(BPQ)?

The area of the trapezium ABCD is 126 cm². The ratio of AB and DC is 4 : 3 and of DC and ED is 4 : 3. If and AE = , then find the area of the trapezium EBCF.

ABC and ABP are on the same base AB. Points C and P are on a line such that AB || . Find ar(ABC) if ar(ABP) = 12 cm².

PQRS is a parallelogram formed by joining the midpoints of the sides of quadrilateral ABCD. Which of the following relationships is correct?

In a parallelogram MNOP, MQ is the bisector of ∠PMN and OR is the bisector of ∠NOP. PN is the diagonal and meets MQ at S, and OR at T. Height QU is 5 cm, PQ + QO + NO = 18 cm and MU - UR = 7 cm. If the ratio of NO, QO and PQ is 2 : 3 : 1, then match the following.

In the given figure, ED = 4 cm and area of △ECD = 12cm². If EA =and the ratio of EA to CB is 1: 3, then find the area of trapezium EABC.

Two squares namely ABCD and DCFE are placed on top of each other such that the line DC is common between the two squares which are equal in area. Two different triangles with same height as that of the first square are placed on sides AD and CF via their perpendiculars. The obtained two squares make two different trapeziums namely GABC and DCHE. If the length GD is 'x cm' long, the length HF is 'y cm' long, and the area of the second square is exactly 169 cm² and 'x - y > 4', the difference in the areas of the two trapeziums is