In the diagram, $ABCD$ is a rectangle. Given that $AB=\left( 2x+y \right)$cm, \(BC=\left( x

Question

In the diagram, $ABCD$ is a rectangle. Given that $AB=\left( 2x+y \right)$cm, $BC=\left( x+y \right)$cm, $CD=\left( 3x+5y+3 \right)$cm and $AD=\left( 4x+5y-7 \right)$cm. Form two equations involving $x$ and $y$. Find the values of $x$ and $y$. Calculate the area of rectangle $ABCD$.

Accepted Answer

(a) $3x+4y=7$, $-x-4y=3$ (b) $x=5,\ y=-2$ (c) $24\text{ cm}^2$

Solving for Dimensions of a Rectangle Using Simultaneous Equations

Solving for Dimensions of a Rectangle Using Simultaneous Equations

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