GARDEN Amanda is planting flowers in a rectangular garden. She wants to know the amount of space in her backyard the garden will

Question

2 years ago

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GARDEN Amanda is planting flowers in a rectangular garden. She wants to know the amount of space in her backyard the garden will

occupy. The length of the garden is represented by the function L(x) = 2x + 1 and the width of the garden is represented by the function W(x) = x – 2. What function represents the area of the garden, A(x)?

Mathematics

1 answer:

Andrew [12] · Answer 1 · 2022-04-20T10:57:53+03:00

The function A(x) = 2x²-3x-2 represents the area of the garden.

Step-by-step explanation:

Given,

Length of rectangular garden is given by;

L(x) = 2x+1

Width of rectangular garden is given by;

W(x) = x-2

Area of rectangular garden;

A(x) = L(x) * W(x)

$A(x) = (2x+1)(x-2)\\A(x) = 2x(x-2)+1(x-2)\\A(x) =2x^2-4x+x-2\\A(x) = 2x^2-3x-2$

The function A(x) = 2x²-3x-2 represents the area of the garden.

Keywords: Area, rectangle

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