Question

What is the area of Z?

Answer 1

5 km

Explanation:

We know that the perimeter of this rectangle is 18km.

We also know that 1 side is 4km.

Given the perimeter formula:

`P=2(l+w)`

We can substitute our given values:

18=2(4+w)

Solve the right side

18=8+2w

subtract 8 from both sides

10=2w

divide both sides by 2

5=w

This means that z, the width, is 5 km.

Hope this helps!

Answer 2

t = 5 kilometers

Explanation:

From the given figure,

Perimeter = 18 kilometers

Now, the formula for perimeter of a rectangle = 2(l + b)

Where,

'l' is the length of the rectangle

and

'b' is the breadth of the rectangle.

Since length is the longest side of a rectangle, therefore from the given figure

=> l = t kilometers

and

=> b = 4 kilometers

Substituting values in the formula,

18 = 2(t + 4)

=> 18/2 = t + 4

=> 9 = t + 4

=> 9 - 4 = t

=> t = 5 kilometers