SOLUTION: If the lengths of a pair of opposite sides of a rectangle were doubled and the other pair of opposite sides were each decreased by 14 m, the new rectangle would be a square with a

Algebra.Com
Question 330495: If the lengths of a pair of opposite sides of a rectangle were doubled and the other pair of opposite sides were each decreased by 14 m, the new rectangle would be a square with a perimeter of 84 m. Find the rectangle's original dimensions. ........
Answer by privani(34)   (Show Source): You can put this solution on YOUR website!
Understood from question:
Square's perimeter = 84m, with sides "s"
Hence,
4s = 84
s = 84/4
s = 21
Further from question:
"a pair of opposite sides of a rectangle were doubled"; assuming this side is "x"
2x = 21
x = 21/2
x = 10.5
"the other pair of opposite sides were each decreased by 14 m"; assuming the other side is "y"
y - 14 = 21
y = 21 + 14
y = 35
So, the rectangle's original dimension is 10.5 m x 35 m.

RELATED QUESTIONS

if the lengths of a pair of opposite sides of rectangle were doubled and the other pair... (answered by AAfter Search)
If the lengths of a pair of opposite sides of a square were tripled and the other pair... (answered by solver91311)
Prove that if in a cyclic quadrilateral, one pair of opposite angles is congruent, then... (answered by richard1234)
One pair of opposite sides of a rectangle increases in length by 25%. By what percent... (answered by greenestamps)
A rectangle has integer side lengths. One pair of opposite sides is increased by 30% and... (answered by jsmallt9)
"Two sides of a square were increased by 6 cm. If the other two opposite sides were... (answered by mananth)
Hi and thanks for answering my question! One pair of opposite sides of a rectangle... (answered by josgarithmetic)
The distance between pair of opposite sides of a parallelogram are 5cm and 10cm. If the... (answered by josgarithmetic)
Write an inequality then solve: A rectangle is formed from a given square by extending... (answered by fcabanski)