A playground at a mall is in the shape of a rectangle, and there is a 144 foot long fence around it. If the
rectangle is 6 feet longer than it is wide, what is the width, in feet, of the rectangle?

Width of the playground is 33 foot.

Explanation:

A fence around the playground represents the perimeter.

If the playground is rectangular in shape, then the perimeter of the rectangle is known.

Perimeter of the rectangle = 144 foot

Let, width = b foot

Given:

length (l) = b+6 foot

We know,

Perimeter of the rectangle = 2 (l + b)

Putting the values of l and b in above equation we get,

length (l) = 33 + 6 foot

l = 39 foot

Hence, width of the playground is 33 foot.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.