Question

trapezoid is 24 sq. cm and the bases are 9 cm and 7 cm, then height
4 cm
5 cm
3 cm
2 cm​

Answer 1

Answer:

Height of the trapezoid = 3 cm

Step-by-step explanation:

Given :

Area of the trapezoid = 24 cm²

Bases = 9 cm and 7 cm

To find :

The height of the trapezoid

Taken :

Let the height be x

Using the formula of area of trapezoid to find the height .

Formula -:

$\boxed{\sf{A=\dfrac{a+b}{2}h}}$

Where,

A = Area

a = Base 1

b = Base 2

h = Height

Solution :

$:\Rightarrow\sf{24=\dfrac{9+7}{2}x}$

$:\Rightarrow\sf{24=\dfrac{16}{2}x}$

$:\Rightarrow\sf{24\times2=16x}$

$:\Rightarrow\sf{\cancel{\dfrac{48}{16}}=x}$

$:\Rightarrow\sf{3cm=x}$

So , the height of the trapezoid is 3 cm .

Answer 2

Correct Question :

• The Area of a Trapezium is 24cm² and the sides are 9cm and 7cm, then height is ?

Given :

• Area of Trapezium = 24cm²
• First Side of Trapezium = 9cm
• Second Side of Trapezium = 7cm

To Find :

• Height of the Trapezium.

Solution :

✰ As we know that, Area of Trapezium is given by ½ × height × (sum of sides) .So we will put the given values in the formula to find the height of the Trapezium.

⠀

⠀⠀⠀⟼ ⠀⠀Area = ½ × H × (S1 + S2)

⠀⠀⠀⟼ ⠀⠀24 = ½ × H × (9 + 7)

⠀⠀⠀⟼ ⠀⠀24 = ½ × H × 16

⠀⠀⠀⟼ ⠀⠀24 = H × 8

⠀⠀⠀⟼ ⠀⠀24 / 8 = H

⠀⠀⠀⟼ ⠀⠀3 cm = Height

⠀

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Verification :

⠀⠀⠀⟼ ⠀⠀Area = ½ × H × (S1 + S2)

⠀⠀⠀⟼ ⠀⠀Area = ½ × 3 × (9 + 7)

⠀⠀⠀⟼ ⠀⠀Area = ½ × 3 × 16

⠀⠀⠀⟼ ⠀⠀Area = 3 × 8

⠀⠀⠀⟼ ⠀⠀24 = 24

Hence Verified

Thus Height of Trapezium is 3cm

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