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3 years ago

11

Find the equivalent fraction to next expression 3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2 a 2b2 + 3.5a + 8.4 b b b2 +3.5a + 8.4b c 2b

2 + 3.5a + 8.4b d b2 + 10.8a + 8b

1 answer:

Neporo4naja [7]3 years ago

7 0

Answer:

b²+3.5a+8.4b

Step-by-step explanation:

Given the expression

3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2

Expand

3b^2 + 2a+10.8b -2.4b + 1.5a - 2b^2

Collect the like terms

= 3b²-2b²+2a+1.5a+10.8b-2.4b

= b²+3.5a+8.4b

Hence the equivalent expression is b²+3.5a+8.4b

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Step-by-step explanation:

$\bf \: Given :$

$\sf \: Side \: of \: the \: square = 2.5 \: cm$

$\bf \: To \: find:$

$\rightarrow \sf \: Perimeter$

$\sf\rightarrow Area$

$\bf \: Solution :$

$\rm \: First \: w e \: need \: to \: find \: out \: the \: perimeter \: o f \: it.$

So to find the Perimeter of the square, we'll use this formula :

$\boxed{ \sf\longrightarrow \: Perimeter = 4 \times side}$

$\bf \: Step \: 1 : \rm \: Put \: the \: value \: of \: side \: of \: the \: square :$

$\sf\longrightarrow \: Perimeter = (4 \times 2.5)cm$

$\bf \: Step\;2 : \rm Multiply :$

$\sf\longrightarrow \: Perimeter = 10 \: cm$

Hence, the perimeter would be 10 cm .

$\rule{225pt}{2pt}$

$\sf \: Now,\; let's\; find \: the \: Area .$

We know that the formula of Area to find the square is,

$\boxed{ \sf \longrightarrow \: Area = (side) {}^{2} }$

Note : The answer would always be in cm².

$\bf Step\; 1 :\rm Put\; the\; value \; of\; side \; of \; the\; square :$

$\sf\longrightarrow{Area} = (2.5) {}^{2} \: cm {}^{2}$

$\sf\longrightarrow{Area} = (2.5 × 2.5 ) \: cm {}^{2}$

$\bf \: Step\;2 : \rm Multiply :$

$\longrightarrow\sf \: Area = 6.25 \: cm {}^{2}$

Hence, the area of the square would be 6.25 cm².

<em>We are done !</em>

$\rule{225pt}{2pt}$

I hope this helps!

Let me know if you have any questions.

:D

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