The diagram shows a garden which is enclosed by a wall $AH$ and fencing along the boundary \(ABCDE

Question

The diagram shows a garden which is enclosed by a wall $AH$ and fencing along the boundary $ABCDEFGH$. The angles at $B$, $D$, $E$, $F$, $G$, $H$ are each right angles and $FG=20$ m and $AB=DE=EF=x$ m. It is given that the total length of the fencing is $70$ m and that the area of the rectangle $HBCG$ is fifteen times the area of the square $CDEF$. Show that $17x^2+15x-500=0$.[3] Find total area of the garden.[2]

Accepted Answer

(ii)400m$^2$

2024 JPJC H1 Q1

2024 JPJC H1 Q1