Question

The length of a rectangle field is a greater than twice its breadth by 10 m. Its diagonal is 5m more than its length. Find the area of the field

Answer 1

Answer:

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Step-by-step explanation:

GIVEN -

SHAPE - RECTANGLE

LENGTH IT IS GREATER THAN TWICE OF BREATH BY 10 M

DIAGONAL IS 5 MORE THAN LENGTH

MYSTERY TOPIC -

WHAT IS THE AREA OF THE FIELD

let breath is equal to x

so the length will be 2 x + 10

and the same as diagonal will be ( 2 x + 10) + 5

DIAGONAL OF RECTANGLE = LENGTH SQUARE + BREATH SQUARE

$(2x + 10) + 5 = \sqrt{ {x}^{2} ( +2x + 10)}$

${((2x + 10) + 5)}^{2} = {x}^{2} + {(2x + 10) }^{2}$

$( {4x}^{2} + 100) + 25 = {x}^{2} + {4x}^{2} + 100$

${4x}^{2} + 25 + 125 = {x}^{2} + {4x}^{2} + 100$

$50 = {x}^{2}$

$x = \sqrt{50}$

now now we have the value of x and we can use it to find other values.

breath = 2√50+10

diagonal = 2√50+10+5

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