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Mensuration — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSMensuration1 Mark
MCQ
A trapezium shaped cardboard is having its parallel sides as $20\ cm$ and $24\ cm.$ What will be the area of that cardboard if one of the non-parallel side $18\ cm$ and the perpendicular distance between the parallel sides is 16cm?
  • A
    $392\ cm^2$
  • B
    $372\ cm^2$
  • ✓
    $352\ cm^2$
  • D
    $300\ cm^2$
✓

Answer

Correct option: C.
$352\ cm^2$
C.  $352\ cm^2$
Solution:
We know that, Area of trapezium $(\text{A})=\frac{1}{2}\text{h}(\text{a+b)}$
Hence, we don't need the length of any of the non-parallel side.
Here, $h = 16\ cm$
$a = 20\ cm$
$b = 24\ cm$
$(\text{A})=\frac{1}{2}\times16\times({20+24)}$
$(\text{A})=8\times44$
$(\text{A})=352\text{cm}^2$

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