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Question

Mathematics Question on Area Of A Parallelogram

Find the missing values:So NoBaseHeightArea of parallelogram
a.20 cm-246 cm2cm^2
b.-15 cm154.5 cm2cm^2
c.-8.4 cm48.72 cm2cm^2
d.15.6 cm-16.38 cm2cm^2
Answer

Area  of  parallelogram=Base×HeightArea\; of\; parallelogram = Base × Height
(a) b=20  cm,  hb = 20 \;cm, \;h = ??
Area=246  cm2Area = 246 \;cm^2
20×h=24620 × h = 246

hh = 24620=12.3  cm\frac{246}{20}=12.3 \;cm

Therefore, the height of such parallelogramparallelogram is 12.312.3 cmcm.


(b) b=?  hb = ? \;h= 15  cm15 \;cm
AreaArea = 154.5  cm2  b×15154.5\; cm^2\; b × 15

b=154.515=10.3  cmb = \frac{154.5}{15}=10.3 \;cm

Therefore, the base of such parallelogramparallelogram is 10.310.3 cmcm.


(c) b=?  hb = ? \;h = 8.4  cm  Area8.4\; cm\; Area = 48.72  cm248.72\; cm^2
b×hb\times h = 48.72

= bb = 48.728.4=5.8  cm\frac{48.72}{8.4}=5.8 \;cm

Therefore, the base of such parallelogramparallelogram is 5.85.8 cmcm.


(d) b=15.6  cm  h=?b = 15.6\; cm\; h = ?
Area=16.38  cm2Area = 16.38 \;cm^2
15.6×h=16.3815.6 × h = 16.38

h=16.3815.6=1.05  cmh= \frac{16.38}{15.6}=1.05\;cm

Therefore, the height of such parallelogramparallelogram is 1.051.05 cmcm.