Lowe Powell
08/07/2023 · Middle School

1. I can apply quadratic models in word problems. e.g. A piece of wire measuring 80 cm in length is bent into the shape of a rec be the width of the rectangle. i Use the perimeter to find an expression for the length of the rectangle in ii Hence, find a rule for the area of the rectangle, \( A \mathrm{~cm}^{2} \), in terms of \( x \) and for suitable values of \( x \). iii Use the graph to determine the maximum area that can be formed and the of the rectangle that give this area.

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The maximum area is \( 400 \, \text{cm}^2 \) with dimensions \( 20 \, \text{cm} \) by \( 20 \, \text{cm} \).

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