The length of a certain rectangle is 15cm more than three times its width. If the perimeter of the rectangle is 94cm, what is the area.

Step-by-step explanation:

Let w be the width

Length = 3w + 15

Perimeter = 94 cm

2 * (length + width) = 94

2 * (3w+15 + w) = 94

2 * (4w + 15) = 94

4w + 15 = 94/2

4w + 15 = 47

4w = 47 - 15

4w = 32

w = 32/4

w = 8 cm

Length = 3w + 15 = 3*8 + 15 = 24 + 15 = 39

Length = 39cm

Area = length * width = 39*8 = 312

Area = 312 cm²