Math, asked by devanshupawar2009, 16 days ago

Find the area of trapezium whose parallel sides are 1m and 1.2 m and perpendicular distance between them is 0.8 m.​

Answers

Answered by s15586bhitendr17082
3

Answer:

0.88 m²

Step-by-step explanation:

\mathtt{\purple{ \huge \underline{\fbox{ \: \green{ Solution \red : \: \: }}}}}

Solution :

Given ,

The parallel sides of trapezium are 1 m and 1.2 m

The perpendicular distance between them is 0.8 m

We know that , the area of trapezium is given by

\mathtt{ \large \purple{ \underline{ \fbox{ \green{Area \: of \: trapezium = \frac{1}{2} (sum \: of \: parallel \: sides)(height)}}}}}

Substitute the values , we obtain

\begin{gathered} \sf \hookrightarrow Area = \frac{1}{2} (1 + 1.2) \times (0.8) \\ \\ \sf \hookrightarrow Area = \frac{1}{2}( 2.2) \times (0.8) \\ \\ \sf \hookrightarrow Area = \frac{22}{20} \times \frac{8}{10} \\ \\ \sf \hookrightarrow Area = \frac{176}{200} \\ \\ \sf \hookrightarrow Area = 0.88 \: \: {m}^{2} \end{gathered}

↪Area=

2

1

(1+1.2)×(0.8)

↪Area=

2

1

(2.2)×(0.8)

↪Area=

20

22

×

10

8

↪Area=

200

176

↪Area=0.88m

2

Hence , the area of trapezium is 0.88 m²

Answered by Ferocia
98

\huge \sf\color{pink}{Answer}

\sf\color{balck}{0.88 m²}

Given :–

Parallel sides = 1m and 1.2m

Perpendicular dist. between them = 0.8m

Formula :–

Area of Trapezium = ½ × Sum of parallel sides × distance between them.

Solution :–

 \sf{→Area \:  =  \frac{1}{2}  \times (1 + 1.2) \times (0.8)} \\  \sf{→Area =  \frac{1}{2}  \times (2.2) \times (0.8)} \\  \sf{→Area =  \frac{1.76}{2}}  \\  \sf{→Area = 0.88 {m}^{2}}

~ Therefore, Area of the Trapezium is 0.88m²

\sf\color{lightblue}{Hope \:  this \:  helps,  \: Thank  \: you..!!}

Similar questions