Amit is planning to buy a house and the layout is given below. The design and the measurements have been made such that the areas of two bedrooms and the kitchen together is \(117\,\text{m}^2\).
The dimensions of the rooms are as shown in the figure. Find the values of \(x\) and \(y\).
The dimensions of the rooms are as shown in the figure. Find the values of \(x\) and \(y\).
(1) Which pair of linear equations correctly represents the situation in the layout?
(2) The two equations are drawn on a graph. Line \(L_1\) (the area equation) meets the \(x\)-axis at \(P\), line \(L_2\) (the length equation) meets the \(x\)-axis at \(Q\), and \(L_1\) and \(L_2\) intersect at \(R\). Which is correct?
(3) The area of the triangle formed by the lines \(L_1\), \(L_2\) and the \(y\)-axis is:
(4) Amit's architect rewrites the area condition as \(18x+10y=c\). For the design to become impossible to construct alongside \(9x+5y=117\), \(c\) must satisfy: