Question

La escuela se encuentra en un terreno rectangular y está próximo a adquirir uno más de forma rectangular. Este último equivale a 1/4 del tamaño actual de la escuela. Si la escuela mide 50 metros de largo y 12 de ancho. Cada salón de la escuela ocupa 1/16 del terreno acutual cuántos salones se podrían construir en el terreno nuevo.?

El patio de la escuela equivale a 3 /5 del terreno. Cuantos salones en un primer piso tiene aproximadamente un la escuela.
Si se quiesiera agregar únicamente 2 salones más y una cancha de fútbol de 3/4 del terreno original que te tanto más de espacio se necesitaría en el nuevo terreno.?

Answer 1

- 4 new classrooms can be built on the newly acquired plot.

- The number of classrooms on the first floor of the school's land = 8

- The amount of extra space on the new land needed to add just 2 more rooms and a soccer field 3/4 of the original land = 375 m²

Explanation:

The current rectangular plot for the school has dimensions 50 m length and 12 m width.

The current school plot has an area of (50×12) that is, 600 m².

The newly acquired rectangular plot, is said to be (1/4) of the current plot.

Area of the newly acquired rectangular plot

= (1/4) × 600 = 150 m²

Each classroom on the current school's plot occupies (1/16) of the the current rectangular plot, area of a classroom on the current plot.

= (1/16) × 600 = 37.5 m²

So, how many classrooms can be obtained from the newly acquired rectangular plot?

Area of the newly acquired rectangular plot = 150 m²

Area of one classroom = 37.5 m²

Number of classrooms obtainable from the newly acquired rectangular plot = (150/37.5)

= 4 classrooms

b) The schoolyard is equal to 3/5 of the land. How many classrooms on the first floor does the school have?

Total area of school land now = 600 m² + 150 m² = 750 m²

Schoolyard occupies (3/5) of the space.

Then, the classrooms on the first floor will occupy (2/5) of the space.

Area occupied by classrooms = (2/5) × 750

= 300 m²

Recall, each classroom occupies 37.5 m² of space,

Hence, the number of classrooms on the first floor = (300/37.5) = 8 classrooms to the nearest whole number.

c) If you wanted to add just 2 more rooms and a soccer field 3/4 of the original land, so much more space would be needed in the new field?

2 more classrooms will occupy = 2 × 37.5 = 75 m²

(3/4) of the original land = (3/4) × 600 = 450 m²

Total new space required = 75 + 450 = 525 m²

The newly acquired rectangular plot has an area of 150 m², So, to achieve those two projects (add just 2 more rooms and a soccer field 3/4 of the original land) that would require 525 m².

The amount of extra space that will be required = 525 - 150 = 375 m²

Hope this Helps!!!