In the diagram, $ABCD$ is a square of side 25 cm. Points $P,Q,R,S$ lie on $AB,BC,CD,DA$, respe

Question

In the diagram, $ABCD$ is a square of side 25 cm. Points $P,Q,R,S$ lie on $AB,BC,CD,DA$, respectively, and $BP=CQ=DR=AS=x$cm. It is given that the dimensions satisfy $x^2-25x+144=0$. Factorise $x^2-25x+144$. Solve the given equation. Given $DR<RC$, find $DR$. $A$ $B$ $C$ $D$ $P$ $Q$ $R$ $S$ $\text{25 cm}$ $x$

Accepted Answer

(a) $(x-9)(x-16)$. (b) $x=9$or 16. (c) $DR=9$cm.

Solving a quadratic in a geometric setting

Solving a quadratic in a geometric setting

Solution:

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