Areas of Parall...

In the given figure, ST is parallel to PQ, and PS is parallel to QR. Also, if area of ΔPQT = 70 cm², then find the area of PQRS.

In the figure given below, ADCB and DGFA are two parallelograms. If FE = 5 cm and BC = 12 cm, the what will be the area of triangle GDF?

In the given figure, GI is parallel to HL and GH is parallel to LI. If a median KN of the ΔKLH is drawn, then what will be the area of ΔKNH, given that the area of IJK = 72 cm²?

The perimeter of regular hexagon MNOPQR is 60 cm, if TN and TS are 8 cm and 5 cm, respectively, find the area of quadrilateral MNUS.

In parallelogram ABCD, FB is median and E is a point on DC. If ar(ΔDAE) = 35 cm², ar(ΔEAC) = 15 cm², then what is ar(ΔFBC)?

MPQN is a parallelogram. Length of the perpendicular ON is 15 cm and divides QP in the ratio 1 : 4. If the area of ΔNOQ is 60 cm², then what will be the area of parallelogram MPQN?

In the given figure, AE is parallel to CD and the area of the parallelogram ABDC is 42 cm². Find the area of the ΔCED.

In the given figure, MLON is the parallelogram. If LG = GO and OF is the median of ΔLOM, then which of the following equals the area of ΔLFG?

In the given figure, FGIH is a parallelogram and FH is parallel to IN. What is the area of ΔMGI?

State 'T' for true and 'F' for false for the following statements.

1. If a triangle and a parallelogram share the same base and are between the same parallels, then area of parallelogram is of the area of the triangle.
2. If a planar region formed by a figure P, is made up of two non-overlapping planar regions formed by figures U and B, then ar(P) = ar(U) × ar(B).
3. If a parallelogram and a rectangle have the same base and equal areas, then the ratio of their perimeters is 1 : 1.

A big parallelogram and a triangle are on the same base and between the same parallel lines. The area of that triangle is cut out from the area of the big parallelogram and a new parallelogram is made out of the remaining area. A new triangle is cut out from the new parallelogram such that the new triangle and the new parallelogram are on the same base and between the same parallel lines.

What would be the ratio of the area of the big parallelogram to that of the new triangle?

From the given figure, find the ratio of the area of the parallelogram ABCD to that of the shaded region, if points E, F, G and H are exactly in the middle of each side of the parallelogram.

Two parallelograms and three triangles share the same base between two parallel sides. What will be the ratio of total area of the two parallelograms and one triangle to the total area of remaining two triangles?

BP is the median of the ∆ABC. It is given that ar(ΔCEP) = ar(ΔCBP). The ar(ΔPCE) : ar(‖gm ABCD) is

CBAD is a parallelogram. Area of ΔAPB is 20 cm². Find the area of ΔAED. Given that E is the midpoint of diagonal AC, such that DE divides ΔACD into two triangles of equal areas.

The shape given below has an area of 700 cm². What is the area of the parallelogram DCBM?

The shortest distance between two parallel sides and the shorter parallel side of a trapezium is 16 units and 7 units, respectively. Each non-parallel side measures 10 units and the area of the trapezium is 160 sq. units. Find the length of the perpendicular drawn from the vertex of the larger side of the trapezium to the non-parallel side which divides that non-parallel side in two equal parts.

In the given figure, area of parallelogram ABCD = 240 cm², point J divides the line IA in 2 : 1, IA = AB and CD = 12 cm. What would be the area of the right-angled triangle IDJ?

Given is a parallelogram ABCD and points P, Q, R and S are midpoints on side AB, BC, CD and DA respectively.



Which of the following is true ?

The centroid of a triangle divides the medians of the triangle in ratio of

Two parallel sides of a trapezium are of lengths 26 cm and 13 cm, and the area of the trapezium is 0.02925 m². What is the difference between the two lines?

In the given figure ABDC, ratio of parallel sides is 5 : 4. If the distance between two parallel sides is 36 cm and area is 486 cm², find the length of the shortest parallel side.

Michael is a farmer. He has a piece of land which is shaped like a parallelogram. He divided his land as given in the figure, where DB∥PQ. Can you help him to find area of ABCD figure, if area of PQRS = 4,098 square yards?

In given right-angled triangle BAE, CF is perpendicular to AD, AD is perpendicular to BE and DC is perpendicular to AB. If AE = 14 cm, AD and AC are 25 cm and 7 cm, respectively, and CF = AC, find the ratio of area of quadrilateral ACDE to area of triangle ADC.

The area of the given parallelogram ABCD is 40 cm². Also, line DF measures the difference between the lines AD and DE if line AD = 8 cm. CDFG is also a parallelogram. What will be the area of the shaded part if the un-shaded parts are right-angled triangles?