Question

Radius question

* answers listed on pic but I just need a step by step explanation *

Answer 1

Explanation:

Let A(x) be the area function of given rectangle.

Radius of circle = 7x

Therefore, length of rectangle = 14x

Width of rectangle = 7x

`\therefore \: A(x) =l* w \\ = 14x * {(7x)} \\ =98x^2 \\ \huge \red{ \boxed{ \therefore \: A(x) =98 {x}^(2) }}`

Let P(x) be the Perimeter function of given rectangle.

`P(x) =2(l + w) \\= 2(14x + 7x)\\</p><p>=2* 21x\\</p><p>= 42x\\</p><p>\huge \red{ \boxed{ \therefore \:P(x)= 42x}}`

Answer 2

Good morning ☕️

Answer:

A. A(x) = 98x²

B. P(x) = 42x

Explanation:

Consider L the length of the rectangle and w its width

then according to the figure L = 7x + 7x = 14x and w = 7x

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A. A(x) = L × w = 14x × 7x = 98x²

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B. P(x) = 2×(L + w) = 2×(14x + 7x) = 2×(21x) = 42x

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:)