T<span>he area of a figure is the measure of the extent of a two dimensional figure which is usually measured as the square units of the dimensions of the figure.
For example, given a figure with dimensions, say k, the area of the figure is given by

.
</span>
<span>Given that o<span>ne
similar figure has an area that is nine times the area of another.
Since the two figures are similar, it means that there areas will be proportional as their dimensions will be proportional.
Let the dimensions of the smaller figure be k and the larger figure is p times the smaller figure. Then the area of the smaller figure is

and the area of the larger figure is

.
Now, given that the area of the larger figure is nine times the area of the smaller figure, this means that:

</span>
Therefore, the
larger figure must have dimensions that are 3 times the dimensions of the
smaller figure.</span>
<h3><u>Question:</u></h3>
Denzel earned money after school. He put 1/2 of this month's earnings into savings. He took the rest to spend at the amusement park. He spent 1/5 of this amount on popcorn and 3/4 of it on rides. What fraction of his earnings did he take to the park but not spend on rides or popcorn.
<h3><u>Answer:</u></h3>
fraction of money not spend in amusement park
<h3><u>Solution:</u></h3>
Let "x" be the total earnings
He put 1/2 of this month's earnings into savings


He took the rest to spend at the amusement park

He spent 1/5 of this amount on popcorn and 3/4 of it on rides


<em><u>So the fraction of money not spend in amusement park is:</u></em>
⇒ Remaining amount - (Amount spend on popcorn + amount spend on rides)

Thus
fraction of money not spend in amusement park
Answer:
El terreno de Jesus es cuadrado.
El terreno del hermano es rectangular.
Definimos las variables:
Lh = Largo del terreno del hermano.
Ah = Ancho del terreno del hermano
Lj = Largo del terreno de Jesus.
Sabemos que:
Lh = 5m + Lj
Ah = Lj.
Sabemos que el area de un quadrado de lado L es igual a L^2.
Entonces el area del terreno de Jesus es Lj^2.
El area de un rectangulo de largo L y ancho A es igual a A*L.
El area del terreno del hermano de Jesus es:
Lh*Ah = (5m + Lj)*Lj
= 5m*Lj + Lj^2.