Question

If length of a rectangle is (a^2 + b^2 + c^2) and breath is 3abc, find the area of the rectangle

Answer 1

Answer:

3a^3bc+3ab^3c+3abc^3

Step-by-step explanation:

we can do this multiplication in two ways

1)vertically

2)horizontally

now,the formulae of finding area of a rectangle is (if unit is given ) = (length×breadth)square units

therefore,1)vertically,

a^2+b^2+c^2

3abc

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3a^3bc+3ab^3c+3abc^3

so as it is given in an algebric expression we need multiply with the same like terms and while multiplying with the powers we should add them together. Remember if you know this then you have always arrange in order usually in ascending order

2)horizontally

(a^2+b^2+c^2)(3abc)

3a^3bc+3ab^3c+3abc^3

while doing horizontally same rule is to be followed and we should always consider the power.

Answer 2

Step-by-step explanation:

AREA= LENGTH×BREADTH

AREA=

$(a^{2} + b ^{2} + c^{2} ) \times 3abc \\ 3a ^{3} bc + 3b ^{3} ac +3c ^{3} ab$