21.In a parallelogram ABCD, AB = 8 cm. The altitudes corresponding to sides AB and AD are respectively 4 cm and 5 cm. Find measure of AD.
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22.
In the given figure:
(a) name the two triangles on the same base AB and between the same parallels. (b) name a triangle and a parallelogram on the same base BC and between the same parallels.
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23.In the given figure, ABC and DBC are triangles on the same base and between parallel lines l and m. If AB = 3 cm, BC = 5 cm, ∠A = 90°, find area of ΔDBC.
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24.In the figure, ar (ΔABE) = 50 cm2. Find the area of the parallelogram ABCD. Give reasons.
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25.If the area of parallelogram (shown in figure) is 80 cm2, then find area of ΔADP.
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26.In the figure, PS || QR. Show that ar(ΔROS) = ar(ΔPOQ).
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27.In the figure, ABP is a line and BD || PC. Prove that ar(quad. ABCD) = ar(ΔAPD)
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28.
In the figure, PQRS and EFRS are two parallelograms. Show that area of area of parallelogram PQRS.
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29.In the figure, ABCD is a parallelogram. AB = 12 cm, DM = 6 cm and BN = 9 cm. Find the length of AD.
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30.In ΔABC, L and M are the points on sides AB and AC respectively such that LM || BC. LC and BM intersect at O. Prove that ar(ΔLOB) = ar(ΔMOC).
Short Answer Type
area of parallelogram PQRS.
