5. Dados los puntos \( P(2 ; 3), R(5 ; 7) \) y \( Q(3 ; 7) \), hallar la ecuación de la recta paralela a la recta PR que pasa por \( \mathbf{Q} \).

9. Five square flower beds each of sides 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land? X. By splitting the following figures into rectangles, find their areas

1. A garden is 90 m long and 75 m broad. A path 5 m wide is to be built outside ar it. Find the area of the path. A path 5 m wide runs along inside a square park of side 100 m . Find the area path. A painting is painted on a cardboard 8 cm long and 5 cm wide such that the margin of 1.5 cm along each of its sides. Find the total area of the margin. The side of a square flower bed is 1 m 80 cm . It is enlarged by digging a strit wide all around it. Find: (i) the area of the enlarged flower bed

5.20. In un rettangolo un lato misura 1 unità più dell'altro. Detta \( x \) la misura del lato minore, esprimi, in funzione di sharea di un quadrato che ha lo stesso perimetro del rettangolo.

Case Study Based Question There was a deserted land near Ryan's house. The colony people used to throw garbage on that land. Ryan, along with his friends, decided to develop the land into a park with walking track with uniform width, where children can play and elders can work. On the basis of above information answer the following questions: (a) What is the width of the track? (b) Find the breadth of inner rectangle. (c) Find the area of walking track. (d) Find the cost of leveling the park including the track at the rate 210 per square m . (e) Which values Ryan has shown here?

4. Problema di geometria solida (sul foglio protocollo) - Un acquario di vetro a forma di parallelepipedo rettangolo è lungo \( 122,8 \mathrm{~cm} \), largo \( 28,4 \mathrm{~cm} \) e alto \( 97,4 \mathrm{~cm} \). (Scrivi bene formule, calcoli con tutte le unità di misura). a) Scrivi i dati, le incognite e rappresenta la situazione con un disegno. b) Calcola il Volume dell'acquario in \( \mathrm{m}^{3} \). c) Questo è un esempio di Misurazione Diretta o Indiretta? Motiva la tua risposta. d) Calcola il massimo Volume di acqua (in Litri) che può essere introdotto nell'acquario.