Question

Pleaase help i will give brainliest! one math question!

The length of a rectangle is 7 mm longer than its width. Its perimeter is more than 62 mm. Let w equal the width of the rectangle. Write an expression for the length in terms of the width and use them to write and solve an inequality.

Answer 1

From question, we have,
length = w + 7mm
perimeter > 62 mm
=> 2(length + width) > 62 mm
=> 2(w + 7 mm + w) > 62 mm
=> 2(2w + 7 mm) > 62 mm
=> 4w + 14 mm > 62 mm
=> 4w > 62 mm - 14 mm
=> 4w > 48 mm
=> w > 48 mm / 4
=> w > 12 mm
therefore, width > 12 mm
now,
length = w + 7 mm
length > 19 mm
Hence length > 19 mm and width > 12 mm