The diagram shows the dimensions in metres of an L-shaped garden. The perimeter of the garden is

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The diagram shows the dimensions in metres of an L-shaped garden. The perimeter of the garden is 48m.

i. Find an expression for y in terms of x.
ii. Given that the area of the garden is Am², show that A = 48x − 8x².
iii. Given that x can vary, find the maximum area of the garden, showing that this is a maximum value rather than a minimum value.

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 10, 2023 11:25 PM

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The diagram shows the dimensions in metres of an L-shaped garden. The perimeter of the garden is

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V 3x 4x 2y x 3y

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We are required to find the required expressions for y in terms of x ar...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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