Question

Find the missing measures for the rectangle. l = _?_ w = 4.2 m A = 37.8 m2 P = _?_ A) 9 m; 26.4 m B) 14.7 m; 61.74 m C) 9 m; 13.2 m D) 26.4 m; 61.74 m

Answer 1

The correct answer is A.

Explanation:

The area of a rectangle can be calculated using the following formula:

`Ar=W . I`

If we know that the area measures
`37.8 m^(2)` and one side of the figure measures 4.2 m, we can say that:

`37.8m^(2)=4.2m. I`

We isolate the side we don't know:

`(37.8m^(2))/(4.2m) = I\\9 m = I`

So I = 9 m

To know the perimter of a rectangle, we use the following formula:

`P= I. 2 + W . 2`

`P= 9m. 2 + 4.2m. 2`

`P= 26.4 m`