A garden is of the shape $ABCDE$ as shown in the diagram below. $AB$ and $DC$are perpendicular

Question

A garden is of the shape $ABCDE$ as shown in the diagram below. $AB$ and $DC$are perpendicular to $BC$. It is given that $AE=DE=5x$m , $AB=DC=y$m and $BC=6x$m. Find an expression, in terms of $x$, for the length of $EK$. The perimeter and area of the garden are $54$ m and $180$ m$^{2}$ respectively. Write down a pair of simultaneous equations relating $x$ and $y$. Solve the pair of simultaneous equations to find the values of $x$ and $y$.

Accepted Answer

(a) EK=4x. (b) 8x+y=27 and 2x^2+xy=30. (c) (x,y)=(2,11) or (5/2,7).

Polynomials, Cubic Equations and Partial Fractions - Linear and Non-Linear Simultaneous Equations

Polynomials, Cubic Equations and Partial Fractions - Linear and Non-Linear Simultaneous Equations

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