Math
posted by Xian .
A 5 inch by 8 inch rectangle is enlarged to a similar rectangle whose smallest side measures 9 inches. What is the length in inches of the diagonal of the enlarged rectangle?

D1/D2 = 5/9
D1 = √(5^2 + 8^2) = √89
so √89/D2 = 5/9
5D2 = 9√89
D2 = 9√89/5
notice that the diagonal increased by a factor of 9/5 or the same as the increase in the sides.
Respond to this Question
Similar Questions

algebra1
The length of a rectangle is twice the width. If the length is increased by 4 inches and the width is decreased by 1 inch, a new rectangle is formed whose perimeter is 198 inches. Find the dimensions of the original rectangle. 
algebra
A rectangle is 16 inches wide and 20 inches long. If the length of this rectangle is changes, how many square inches of are are added for every inch in length that is added to this rectangle? 
geometry
A rectangle measures 6 inches in length by 9 inches in width. If the rectangle will be enlarged by 250%, what will be the lengths of the sides of the new rectangle? 
Nassau
The length of the smaller rectangle at the right is 1 inch less than twice its width. Both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle. The area of the shaded region is 86 square inches. What … 
5th Gr Math
Mikail used 220 inches of wire to make this figure. The figure is made up of 2 indentical triangles, a 15 inch by 12 inch rectangle & a square of side 19 inches. What is the length of 1 side of each triangle if all the sides of the … 
math
The leng of the smaller rectangle is 1 inch less than twice its wide. both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle. the area of the shaded region is 86 square inches. what is the area of … 
Math 8
A stop sign has each side measures of 12.4 inches, and the distance from any side to the opposite side is 30 inches. Divide the stop sign into one rectangle and two trappezoids. What are the dimensions of the rectangle and each of … 
algebra
The length of a rectangle is twice the width. If the length is increased by 4 inches and the width is diminished by 1 inch, a new rectangle is formed whose perimeter is 198 inches. Fine the dimensions of the original rectangle. 
TRIG
The length of a rectangle is 142.9 in. If the diagonal makes an angle of 32.1o with this side, find the measure of the diagonal of the rectangle rounded to the nearest tenth of an inch. let x represent the diagonal. 
Trig
The length of a rectangle is 142.9 in. If the diagonal makes an angle of 32.1o with this side, find the measure of the diagonal of the rectangle rounded to the nearest tenth of an inch. let x represent the diagonal.