Question

The cross-section of a canal is a trapezium in shape. If the canal is 10m wide at the top, 6m wide at the bottom and the area of the cross-section is 72m², find its depth.

Answer 1

$\color {red}\huge\bold\star\underline\mathcal{Question:-}$

we Have to Find Depth of Trapezium ?

$\huge\underline\purple{\mathcal Answer:-}$

It is $\huge\underline\blue{\sf Given:}$ That :--

canal is 10m wide at the top

6m wide at bottom ,

Area of Trapezium = 72m²

$\rule{200}{4}$

Now,

we know that :----

$area \: of \: trapezium \: = \frac{1}{2} (sum \: of \: ll \: sides) \times depth$

using this, and putting values we get,

$72 = \frac{1}{2} (6 + 10) \times depth \\ \\ 144 = 16 \times depth$

$\large\red{\boxed{\sf </strong><strong>Depth\</strong><strong>:</strong><strong>=</strong><strong>\</strong><strong>:</strong><strong>9</strong><strong>m</strong><strong>}}$