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Lunna [17]
3 years ago
10

Factorise 49m²-84mn+36n² using the identity x²+(a+b)x+ab=(x+a)(x+b)​

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0

Answer:

<h3> (7m-6n)(7m-6n)</h3>

Step-by-step explanation:

Given the expression 49m²-84mn+36n², this can also be written as;

49m²-84mn+36n²

= 7²m² - 84mn + 6²n²

= (7m)²-2*7m*6n+ (6n)²

= (7m-6n)²

= (7m-6n)(7m-6n)

Hence the expanded form is  (7m-6n)(7m-6n)

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Given:

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Answer:

Let's assume that the length is 2x and the width is 1x.

We know that the formula to find the perimeter of a rectangle is as follows:

Perimeter = 2 × (Length + Width)

Substituting the values that we have, into the formula above,

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84/2 = 3x

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x = 42/3

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Since we know the value of 'x', let's use it to find the length and the width.

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The formula to find the area of a rectangle:

Area = Length × Width

Substituting the values we have into the formula,

Area = 28 × 14

Area = 392

Therefore, the area of the rectangle is 392 square yards.

Hope it helps. :)

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