Question

Questions For Brainly Experts!
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The area of the trapezoid shown below is equal to 270 square units. Find its perimeter and round your answer to the nearest unit.

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All the best✌​

Answer 1

$\sf\large\underline\green{AnSwEr}$

Let h be the height of the trapezoid.

Area of Trapezoid =$\sf\large\underline\purple{½×height×sum of || sides}$

→ ½ × h × (10 + 10 + 3 + 4) = 270units

→ ½××27×h=270units

→ h= $\frac{270 \times 2}{27}$

$\sf\large\underline\red{h→20units}$

Now

Apply. PYTHAGORAS THEOREM in left Tri .

hypotenuse²=Perpendicular ²+base²

20² + 3² = L² ( Pythagoras theorem applied to the right triangle on the left.)

L = √(409)

Apply in other triangle

20² + 4² = R² : (Pythagoras theorem applied to the right triangle on the right.)

R = √(416)

perimeter = √(409) + 10 + √(416) + 17 = 27 + √(409) + √(416)

Perimeter=20.22+10+20.39+17=67.61 units

$\sf\large\underline\orange{Perimeter→67.61\:unit}$