Question

3. If the two parallel sides of s trapezium are 16cm and 30cm and perpendicular distance between themis 20cm. Area of trapezium will be



a) 490cm2
b) 510cm2
c) 460cm2
d) 480cm2​

Answer 1

Given :

• One parallel side of a trapezium = 16 cm
• Other parallel side of a trapezium = 30 cm
• Height of a trapezium = 20 cm

To find :

• Area of trapezium

According to the question,

We know that,

• Area of trapezium = ½ × (Sum of parallel side) × height

➟ Area of trapezium = ½ × (16 cm + 30 cm) × 20 cm

➟ Area of trapezium = 10 cm × (46 cm)

➟ Area of trapezium = 460 cm²

• So,the area of trapezium is 460 cm².

Option c) 460 cm² is correct.

____________________

More formulas :

• Area of rectangle = Length × Breadth
• Area of square = Side × Side
• Surface area of a cube = 6a²
• Surface area of cuboid = 2(lb + bh + hl)
• Volume of cuboid = l × b × h
• Total surface area of a hemisphere = 3πr²
• Curved surface area of a cone = πrl
• Total surface area of a cylinder = 2πr(r + h)
• Perimeter of rectangle = 2 (length + breadth)

Answer 2

$\large{\underline{\underline{\textsf{\maltese\: {\red{Given :-}}}}}}$

☞ Length of 1st parallel side (a) = 16cm

☞ Length of 2nd parallel side (b) = 30cm

☞ Height (h) of the trapezium = 20cm

$\large{\underline{\underline{\textsf{\maltese\: {\red{To Find :-}}}}}}$

☞ Area of trapezium = ?

$\large{\underline{\underline{\textsf{\maltese\: {\red{Diagram :-}}}}}}$

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines \qbezier(0,0)(0,0)(3,4)\qbezier(3,4)(3,4)(8,4)\qbezier(8,4)(8,4)(10,0) \qbezier(0,0)(0,0)(10,0)\put(5,4.2){\bf16 cm} \put(5,-.5){\bf30 cm} \qbezier(3,4)(3,4)(3,0)\put(3.2,2){\bf20 cm}\put(4.3,-1.5){\framebox(2.7,.7)} \put(4.3,-1.3){\bf@ BeBrainliest}\end{picture}$

$\large{\underline{\underline{\textsf{\maltese\: {\red{Concept Implemented :-}}}}}}$

★ Area of trapezium = $\dfrac{1}{2}$ × (Sum of parallel sides) × Height

$\large{\underline{\underline{\textsf{\maltese\: {\red{Solution :-}}}}}}$

Area of trapezium = $\dfrac{1}{2}$ ×  (Sum of parallel sides) × Height

☯︎ Putting the values

★ Area of trapezium = $\dfrac{1}{2}$ × (a + b) × h

⇒ Area of trapezium = $\dfrac{1}{2}$ × (16cm + 30cm) × 20cm

⇒ Area of trapezium = $\dfrac{1}{2}$ × 46cm × 20cm

⇒ Area of trapezium = 46cm × 10cm

⇒ Area of trapezium = 460cm²

∴ Area of trapezium is 460cm².

∴ Option [C] 460 cm² is correct. ✅

$\large{\underline{\underline{\textsf{\maltese\: {\red{Additional Information :-}}}}}}$

• A trapezium is a type of quadrilateral whose sum of all angles is 360°.

• One pair of sides are parallel in trapezium.

• Other pair of sides are non parallel.

• There are two types of trapezium :-

(i) Regular Trapezium

(ii) Isosceles Trapezium

• Non parallel sides of isosceles trapezium are equal.

• Diagonals of isosceles  trapezium bisects each other.

$\large{\underline{\underline{\textsf{\maltese\: {\red{Learn more from Brainly :-}}}}}}$

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