Question

the perimeter of trapezium is 56 cm if the length of non-parallel sides is 12 cm and 8cm and it's height is 14cm find the area of trapezium​

Answer 1

${\large{\bf{\red{\underline{\underline{Given :}}}}}}$

• Perimeter = 56cm
• 1st side = 12cm
• 2nd side = 8cm
• Height = 14cm

${\large{\bf{\blue{\underline{\underline{To Find :}}}}}}$

• Find the area of trapezium.

${\large{\bf{\orange{\underline{\underline{Solution :}}}}}}$

Formula for area of trapezium :

${\blue{\boxed{\pink{\bf{Area = \frac{a + b}{2} \times h }}}}}$

Here,

• A = 1st side
• B = 2nd side
• H = Height

Than,

${\mapsto{\mathbb{\bf{ \frac{12 +8 }{2} \times 14}}}}$

${\mapsto{\mathbb{\bf{ \frac{20}{\cancel{2}} \times{\cancel {\cancel14}}}}}}$

${\mapsto{\bf{20 \times 7 }}}$

${\blue{\mapsto{\red{\boxed{\mathbb{\bf{140 {cm}^{2} }}}}}}}$

So,

${\red{\underline{\green{\boxed{\mathfrak{Area = 140 {cm}^{2} }}}}}}$

Answer 2

Step-by-step explanation:

Given:

Perimeter = 56cm

1st side = 12cm

2nd side = 8cm

Height = 14cm

{\large{\bf{\blue{\underline{\underline{To Find :}}}}}}

ToFind:

Find the area of trapezium.

{\large{\bf{\orange{\underline{\underline{Solution :}}}}}}

Solution:

Formula for area of trapezium :

{\blue{\boxed{\pink{\bf{Area = \frac{a + b}{2} \times h }}}}}

Area=

2

a+b

×h

Here,

A = 1st side

B = 2nd side

H = Height

Than,

{\mapsto{\mathbb{\bf{ \frac{12 +8 }{2} \times 14}}}}↦

2

12+8

×14

{\mapsto{\mathbb{\bf{ \frac{20}{\cancel{2}} \times{\cancel {\cancel14}}}}}}↦

2

20

×

1

4

{\mapsto{\bf{20 \times 7 }}}↦20×7

{\blue{\mapsto{\red{\boxed{\mathbb{\bf{140 {cm}^{2} }}}}}}}↦

140cm

2

So,

{\red{\underline{\green{\boxed{\mathfrak{Area = 140 {cm}^{2} }}}}}}

Area=140cm

2