In a right-angled triangle, if one leg measures 8 cm and the other leg measures 6 cm , what is the length of the hypotenuse?

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

3) Flool of an ICT room of school is to be fitted with a square marble of the largest possible size. The size of the room is lam by 7 cm . What sho- wld be the size of the tiles required that has to be cut \& how many such tiles are required?

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.

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

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?