The top surface area of a square table top was changed so that one of the dimensions was reduced by 1 inch and the other dimension was increased by 2 inches. What was the surface area before these changes were made?

(1)After the changes were made, the surface area was 70 square inches.

(2)There was a 25 percent increase in one of the dimensions.

Is the perimeter of a certain rectangular garden greater than 50 meters?

(1) The two shorter sides of the garden are each 15 meters long.

(2) The length of the gardens 5 meters greater than the width of the garden.

If the lengths of the legs of a right triangle are integers, what is the area of the triangular region?

(1)The length of one leg is 3/4 the length of the other.

(2)The length of the hypotenuse is 5.

positions of the same ladder leaning against the side ~$\vec{SV}$~ of a wall. The length of ~$\vec{TV}$~ is how much greater than the length of ~$\vec{RV}$~

(1)The length of ~$\vec{TU}$~ is 10 meters.

(2)The length of ~$\vec{RV}$~ is 5 meters.

In the figure above, points A, B, C, and D are collinear and AB, BC, and CD are semicircles with diameters d1cm, d2cm, and d3cm, respectively. What is the sum of the lengths of AB,BC and CD in centimeters?

(1)d1:d2:d3 is 3:2:1 

(2)The length of AD is 48 cm.

Patricia purchased x meters of fencing. She originally intended to use all ofthe fencing to enclose a square region, but later decided to use all of the fencing to enclose a rectangular region with length y meters greater than its width. In square meters, what is the positive difference between the area of the square region and the area of the rectangular region?

(1)xy=256

(2)y=4

In the rectangular coordinate system, line k passes through the point(n,-1).Is the slope ofline k greater than zero?

(1)Line k passes through the origin.

(2)Line k passes through the point(1,n+2).

In the figure above, what is the perimeter of △PQR?

(1)The length of segment PT is 2

(2)The length of segment RS is  ~$\sqrt{3}$~ 

In the figure above,B is on ~$\vec{AC}$~, D is on ~$\vec{AE}$~, ~$\vec{AB}$~has the same length as ~$\vec{BC}$~,and ∠ABD has the same measure as ∠ACE. What is the length of ~$\vec{DB}$~？

(1)The length of ~$\vec{EC}$~ is 6.

(2)The length of ~$\vec{DE}$~ is 5.

What is the length of the hypotenuse of △ABC?

(1)The lengths of the three sides of △ABC are consecutive even integers .

(2)The hypotenuse of △ABC is 4 units longer than the shorter leg.