+1310 In the figure below, PQRS is a parallelogram of perimeter 24 and area 28. What is the perimeter of rectangle QOST? Include an explanation of how you solved the problem.
+128731 If the perimeter is 24, then PS = QR = (24 - 10)/ 2 = 14/2 = 7
And the area would be the height x PS = 28
So h x 7 = 28 divide both sides by 7
h = 4 = ST
And RT =√[RS^2 - ST^2] = √[5^2 - 4^2 ] = √9 = 3
So RT + QR = 3 + 7 = 10
And ST = OQ = 4
So the perimeter of the rectangle = 2(10 + 4) = 2(14) = 28 units
