Question

Consider the rectangle.

4
x+1
-
Which pair of expressions represents the area of the rectangle?
O 2(x + 1) + 2 (4) and 2x +9
O 2(x + 1) +2 (4) and 2x + 10
O 4(x + 1) and 4x + 1
O 4(x + 1) and 4x + 4

Answer 1

`\boxed{ \underline{ \underline { \bold{ \tt{4(x + 1) \: and \: 4x + 4}}}}}`

☯
`\underline{ \underline{ \text{Question}}} :`

☥ Which pair of expressions represents the area of the rectangle?

☐ 2(x + 1) + 2 (4) and 2x +9

☐ 2(x + 1) +2 (4) and 2x + 10

☐ 4(x + 1) and 4x + 1

☑ 4(x + 1) and 4x + 4

☪
`\underline{ \text{Given :}}`

• Length of a rectangle ( L ) = 4
• Breadth of a rectangle ( B ) = x + 1

☪
`\underline{ \text{To \: Find} : }`

• Pair of expressions which represents the area of the given rectangle

☪
`\underline{ \text{Solution}} :`

❀
`\underline{ \boxed{ \sf{Area \: of \: a \: rectangle = length * breadth}}}`

↦
`\sf{4 * (x + 1)}`

↦
`\boxed{ \sf{4(x + 1)}}`

Also , In 4 ( x + 1 ) , if we distribute 4 through the parentheses , it would be 4*x + 4*1 =
`\boxed{ \sf{4x + 4}}`.

Hence , the right answer is of last option { i.e 4 ( x + 1 ) and 4x + 4 } .

And we're done !

Hope I helped!!

♡ Have a wonderful day / night ツ

~
`\text{TheAnimeGirl}` ♪

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