Question

La diferencia entre la base y la altura de un rectángulo es 4m. Halla las dimensiones de este rectángulo sabiendo que él área es 60 m al cuadrado

Answer 1

The dimensions of rectangle are

the base is
`b=10\ m`

the height is
`h=6\ m`

Explanation:

The question in English is

The difference between the base and the height of a rectangle is 4m. Find the dimensions of this rectangle knowing that the area is 60 m squared.

Let

b-----> the base of rectangle

h----> the height of rectangle

we know that

The area of rectangle is

`A=bh`

`A=60\ m^(2)`

so

`60=bh` -----> equation A

`b-h=4`

`b=h+4` -----> equation B

substitute equation B in equation A

`60=(h+4)h`

`h^(2)+4h-60=0`

using a graphing tool

solve the quadratic equation

The solution is
`h=6\ m`

see the attached figure

Find the value of b

`b=h+4` ----->
`b=6+4=10\ m`