Mark would like to build a rectangle frame. The dimensions of the frame are unknown, but the perimeter of the frame must be 80 yards. The length of the frame is six less than the width. What is the length of the frame?

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andromache andromache · Answer 1 · 2020-08-30T06:04:19+02:00

Answer:

The length of the frame is 17

Step-by-step explanation:

The computation of the length of the frame is shown below:

As we know that

The perimeter of a rectangle is

= 2 (length + width)

where,

let us assume the width be x

So, the length is x - 6

And, the perimeter is 80 yards

So, now put these values to the above formula

80 yards = 2 (x - 6+ x)

80 yards = 2 (2x - 6)

80 yards = 4x - 12

92 = 4x

x = 23

So, the length of the frame is

= 23 - 6

= 17