Verified answer

Given :

• The shape of the top surface of a table is a trapezium.

[tex]~[/tex]

To Find :

• Area of trapezium ?

[tex]~[/tex]

[tex]{\rule{190pt}{2pt}}[/tex]

SolutioN :

• Let us assume that, the area of trapezium be x.

[tex]~[/tex]

[tex]{\bf{\dag}}[/tex] Formula Used :

[tex]\qquad\star~{\underline{\boxed{\pmb{\sf{Area~of~ trapezium~=~\dfrac{1}{2}~×~ (sum~ of~ parallel ~sides)~×~height}}}}}[/tex]

[tex]~[/tex]

[tex]{\bf{\dag}}[/tex] According to the Question :

[tex]~[/tex]

[tex]\qquad{\sf:\implies{Area~=~\dfrac{1}{2}\bigg(1~+~1.2\bigg)~×~0.8}}[/tex]

[tex]~[/tex]

[tex]\qquad{\sf:\implies{Area~=~\dfrac{1}{2}\bigg(2.2\bigg)~×~0.8}}[/tex]

[tex]~[/tex]

[tex]\qquad{\sf:\implies{Area~=~\dfrac{12}{20}~×~\dfrac{8}{10}}}[/tex]

[tex]~[/tex]

[tex]\qquad{\sf:\implies{Area~=~\cancel\dfrac{176}{200}}}[/tex]

[tex]~[/tex]

[tex]\qquad:\implies{\pmb{\underline{\boxed{\pink{\frak{Area~=~0.88 }}}}}}[/tex]★

[tex]~[/tex]

Hence,

[tex]~[/tex]

[tex]\qquad[/tex] ∴ The area of trapezium is 0.88m².

[tex]~[/tex]

[tex]{\rule{190pt}{2pt}}[/tex]

Answer:

Given :

The shape of the top surface of a table is a trapezium.

~

To Find :

Area of trapezium ?

~

{\rule{190pt}{2pt}}

SolutioN :

Let us assume that, the area of trapezium be x.

~

{\bf{\dag}}† Formula Used :

\qquad\star~{\underline{\boxed{\pmb{\sf{Area~of~ trapezium~=~\dfrac{1}{2}~×~ (sum~ of~ parallel ~sides)~×~height}}}}}⋆

Area of trapezium =

2

1

× (sum of parallel sides) × height

Area of trapezium =

2

1

× (sum of parallel sides) × height

~

{\bf{\dag}}† According to the Question :

~

\qquad{\sf:\implies{Area~=~\dfrac{1}{2}\bigg(1~+~1.2\bigg)~×~0.8}}:⟹Area =

2

1

(1 + 1.2) × 0.8

~

\qquad{\sf:\implies{Area~=~\dfrac{1}{2}\bigg(2.2\bigg)~×~0.8}}:⟹Area =

2

1

(2.2) × 0.8

~

\qquad{\sf:\implies{Area~=~\dfrac{12}{20}~×~\dfrac{8}{10}}}:⟹Area =

20

12

×

10

8

~

\qquad{\sf:\implies{Area~=~\cancel\dfrac{176}{200}}}:⟹Area =

200

176

~

\qquad:\implies{\pmb{\underline{\boxed{\pink{\frak{Area~=~0.88 }}}}}}:⟹

Area = 0.88

Area = 0.88

★

~

Hence,

~

\qquad ∴ The area of trapezium is 0.88m².

~

{\rule{190pt}{2pt}}