Question

Andrea’s garden is shaped like a parallelogram with a base length of 6.5 meters and a height of 4.8 meters. She wants to increase the area by doubling the base length and increasing the height by 1.5 meters. By how much will the changes increase the area of the garden. Explain.

Answer 1

Answer: The changes would increase the area by 50.7 square meters.

Step-by-step explanation: The parallelogram shaped garden has dimensions given as follows;

Base = 6.5

Height = 4.8

The area of the garden at that point would be ;

Area = B x H

Area = 6.5 x 4.8

Area = 31.2 square meters

Afterwards she decides to increase the base length by doubling it (times 2) which becomes 6.5 times 2 and that equals 13 meters. She also increases the height by 1.5 meters which becomes 4.8 plus 1.5 and that equals 6.3 meters. With the new dimensions given, the new area now becomes;

Area = B x H

Area = 13 x 6.3

Area = 81.9 square meters

The change (or difference) in her new area can be calculated as;

Change = New area - Old area

Change = 81.9 - 31.2

Change = 50.7

Therefore the area of the garden would be increased by 50.7 square meters