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3 years ago

9

A stadium has a rectangular area 125 m long by 80 m wide there are two semicircular ends a running track goes all the way round

what is the total inside length of curved end of tack

1 answer:

valentinak56 [21]3 years ago

5 0

Total inside length = 501.2m

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<h3><u>Given Information :</u></h3>

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<h3><u>To calculate :</u></h3>

Area of the trapezoid.

<h3><u>Calculation :</u></h3>

As we know that,

$\bigstar \: \boxed{\sf {Area_{(Trapezium)} = \dfrac{1}{2} \times ( a + b) \times h}} \\$

a and b are length of parallel sides.
h denotes height.

<em>S</em><em>u</em><em>b</em><em>s</em><em>t</em><em>i</em><em>t</em><em>u</em><em>t</em><em>i</em><em>n</em><em>g</em><em> </em><em>valu</em><em>es</em><em>,</em><em> </em><em>we</em><em> </em><em>get</em><em> </em>:

$\longmapsto$ Area = $\sf \dfrac{1}{2}$ × ( 60 + 40 ) × 30 ft $\sf ^2$

$\longmapsto$ Area = $\sf \dfrac{1}{2}$ × 100 × 30 ft $\sf ^2$

$\longmapsto$ Area = 1 × 100 × 15 ft $\sf ^2$

$\longmapsto$ Area = 100 × 15 ft $\sf ^2$

$\longmapsto$ <u>Area = 1500 ft</u> $\sf ^2$

Therefore,

Area of the trapezoid is <u>1500 ft $\sf ^2$ </u>

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