Math, asked by mikha, 1 year ago

The area of trapezium is 1586 cm² and sum of parallel sides is 122 can. Find the distance between two parallel sides.

Answers

Answered by ManviPrincess

3

let the height be x
area of trapezium = 1/2*parallel side*height
1586 =1/2*122*height
1586=61x
x=1586/61
x=26

mikha: how

ManviPrincess: The formula and answer is given

mikha: in which class u r

Answered by Battleangel

7

hello dear mikha

$<body bgcolor="cyan"$

$<body bgcolor="cyan"$ $\red{area \: of \: trapezium \: = \frac{1}{2} \times (a + b) \times h}$

$<body bgcolor="cyan"$ $\red{area \: of \: trapezium \: = \frac{1}{2} \times (a + b) \times h}$ $\blue{1586 {cm}^{2} = \frac{1}{2} \times122cm \times h }$

$<body bgcolor="cyan"$ $\red{area \: of \: trapezium \: = \frac{1}{2} \times (a + b) \times h}$ $\blue{1586 {cm}^{2} = \frac{1}{2} \times122cm \times h }$ $\purple{1586 {cm}^{2} = \frac{122cm}{2} \times h }$

$<body bgcolor="cyan"$ $\red{area \: of \: trapezium \: = \frac{1}{2} \times (a + b) \times h}$ $\blue{1586 {cm}^{2} = \frac{1}{2} \times122cm \times h }$ $\purple{1586 {cm}^{2} = \frac{122cm}{2} \times h }$ $\pink{ \frac{1586{cm}^{2} \times 2}{122 \: cm} = h }$

$<body bgcolor="cyan"$ $\red{area \: of \: trapezium \: = \frac{1}{2} \times (a + b) \times h}$ $\blue{1586 {cm}^{2} = \frac{1}{2} \times122cm \times h }$ $\purple{1586 {cm}^{2} = \frac{122cm}{2} \times h }$ $\pink{ \frac{1586{cm}^{2} \times 2}{122 \: cm} = h }$ $\green {\dfrac{3172 \cancel{{cm}^{2}}}{122 \cancel {cm}} = h}$

$<body bgcolor="cyan"$ $\red{area \: of \: trapezium \: = \frac{1}{2} \times (a + b) \times h}$ $\blue{1586 {cm}^{2} = \frac{1}{2} \times122cm \times h }$ $\purple{1586 {cm}^{2} = \frac{122cm}{2} \times h }$ $\pink{ \frac{1586{cm}^{2} \times 2}{122 \: cm} = h }$ $\green {\dfrac{3172 \cancel{{cm}^{2}}}{122 \cancel {cm}} = h}$ $\orange{ \cancel \frac{3172cm}{122} = h}$

$<body bgcolor="cyan"$ $\red{area \: of \: trapezium \: = \frac{1}{2} \times (a + b) \times h}$ $\blue{1586 {cm}^{2} = \frac{1}{2} \times122cm \times h }$ $\purple{1586 {cm}^{2} = \frac{122cm}{2} \times h }$ $\pink{ \frac{1586{cm}^{2} \times 2}{122 \: cm} = h }$ $\green {\dfrac{3172 \cancel{{cm}^{2}}}{122 \cancel {cm}} = h}$ $\orange{ \cancel \frac{3172cm}{122} = h}$ $\implies \: 26cm = h$

$<body bgcolor="cyan"$ $\red{area \: of \: trapezium \: = \frac{1}{2} \times (a + b) \times h}$ $\blue{1586 {cm}^{2} = \frac{1}{2} \times122cm \times h }$ $\purple{1586 {cm}^{2} = \frac{122cm}{2} \times h }$ $\pink{ \frac{1586{cm}^{2} \times 2}{122 \: cm} = h }$ $\green {\dfrac{3172 \cancel{{cm}^{2}}}{122 \cancel {cm}} = h}$ $\orange{ \cancel \frac{3172cm}{122} = h}$ $\implies \: 26cm = h$ $hence \: the \: distance \: between \: the \: parallel \\ sides = 26 \: cm \:$

$<body bgcolor="cyan"$ $\red{area \: of \: trapezium \: = \frac{1}{2} \times (a + b) \times h}$ $\blue{1586 {cm}^{2} = \frac{1}{2} \times122cm \times h }$ $\purple{1586 {cm}^{2} = \frac{122cm}{2} \times h }$ $\pink{ \frac{1586{cm}^{2} \times 2}{122 \: cm} = h }$ $\green {\dfrac{3172 \cancel{{cm}^{2}}}{122 \cancel {cm}} = h}$ $\orange{ \cancel \frac{3172cm}{122} = h}$ $\implies \: 26cm = h$ $hence \: the \: distance \: between \: the \: parallel \\ sides = 26 \: cm \:$ $<marquee scrollamount=1200>hope this helps you xD ✌❤</marquee>$

Previous Question

Next Question

Similar questions

Math, 7 months ago

solve x/2-1/4=x/3+1/2 ...

English, 7 months ago

F. Change the following sentences into comparative using 'not as........as' 1. English is more widely spoken than french.

Art, 7 months ago

points. 6. To find out the direction of a place, we use ...

Biology, 1 year ago

Why does a starch containing food taste when used for some time...

English, 1 year ago

Write the character sketch of twins ( the canterville ghost)...

Math, 1 year ago

1 joule =? newton ..........

Science, 1 year ago

sketch label and describe the Spirogyra...

French, 1 year ago

paragraph on summer for french...