Question

How to know distributive property of multiplication over addition. 50 POINTS​

Answer 1

Answer:

The distributive property of multiplication over addition is applied when you multiply a value by a sum. For example, you want to multiply 5 by the sum of 10 + 3. As we have like terms, we usually first add the numbers and then multiply by 5. But, according to the property, you can first multiply every addend by 5.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given :-

TSA ᴏғ Cᴜʙᴏɪᴅ= 720 m²

Rᴀᴛɪᴏ of length and breadth = 4:3

Height = 6 m

To Find :-

(i) Length of the cuboid (ii) Breadth of the cuboid

Solution :-

Let,

Length = 4x

Breadth = 3x

We know that

TSA = 2(lb + bh + lh)

\begin{gathered}\sf TSA = 2(4x \times 3x + 3x \times 6 + 4x \times 6) \\ \end{gathered}

TSA=2(4x×3x+3x×6+4x×6)

\sf \red {720 = 2(12x^{2} + 18x + 24x)}720=2(12x

2

+18x+24x)

\tt \pink{ 720 = 2(12x^{2} +42x)}720=2(12x

2

+42x)

\sf \green{ 24x^{2} +84x - 720 = 024x }24x

2

+84x−720=024x

\sf \orange{ 2x^{2} +7x - 602x }2x

2

+7x−602x

\sf 2x^{2} - 8x + 15x - 60 = 02x2x

2

−8x+15x−60=02x

Taking x as common

\sf \red{ 2x(x - 4) + 15(x - 4) = 0}2x(x−4)+15(x−4)=0

\sf \green{(2x + 15),(x - 4)}(2x+15),(x−4)

Either

x = -15/2

or

x = 4

Since length can't be negative. So neglect the -15/2

{\textsf{\textbf{\orange{\underline{Length = 4(4) = 16 m}}}}}

Length = 4(4) = 16 m

{\textsf{\textbf{\pink{\underline{Breadth = 3(4) = 12 m}}}}}

Breadth = 3(4) = 12 m