Question

Two square fields whose side are 60 meters and 80 metres respectively are together equal in area to another square field. Find the length of the side of the this field.

Answer 1

Answer:

$\huge{\pink{\green{\sf{Side\:of\:field\:C=100m}}}}$

Step-by-step explanation:

$\huge{\pink{\green{\underline{\red{\sf{SOLUTION-}}}}}}$

▪In question we have side of two square field.

▪Sum of Area of two square field is equal to the Area of another square field.

▪Let three fields be A,B and C.

• According to the given question:

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: { \orange{ \underline{given}}} \\ { \green{Side \: of \: field \:A = 60m}} \\ { \green{Side \: of \: field \: B= 80m}} \\ \\ { \red{ \underline{to \: find : }}} \\ { \purple{Side \: of \: field \: C =xm }}$

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$\to Area \: of \: field \: C = Area \: of \: field \: A + Area\:of\:field\: B \\ \to {x}^{2} = {60}^{2} + {80}^{2} \\ \to {x}^{2} = 3600 + 6400 \\ \to {x}^{2} = 10000 \\ \to x = \sqrt{10000} \\ { \green{\to x = 100m}}$

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