1) A painter is using a rectangular canvas that has
length 4 more than twice the width. The area of this
canvas is 30 ft . Find the dimensions of the canvas.
2
2) A decorator plans to place a rug in a room that is
9m by 12m in such a way that a uniform strip of
flooring around the rug will remain uncovered. If the
rug is to cover half of the floor space, find the
dimensions of the rug.
3) Find 4 consecutive odd integers such that
the product of the 2nd and 3rd integers is the
same as 3 less than 6 times the largest
integer.
4) Find 5 consecutive integers such that 12
less than twice the product of the 2nd and 3rd
integers is the same as 75 more than the
largest integer squared.
5) The legs of a right triangle have lengths
(
) units and (
) units. The
) units. Find the
hypotenuse has length (
perimeter of this triangle.