David has a garden with dimensions 11 feet long x 9 feet wide. He wants to enlarge the garden to an area of 126 square feet. How
much farther will he need to extend the length of the garden to attain his desired area?
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2 answers:
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Answer:
a) To increase 160 by 4% we multiply by 1.04
b) To decrease 160 by 6% we multiply by 0.94
Step-by-step explanation:
a) Here we have to increase 160 by 4% we are to note that;
Therefore, increasing 160 by 4% is to add additional 0.04×160 to 160
That is 160 + 0.04×160 = 160×(1 + 0.04) = 160×1.04
Therefore Sue should have multiplied 160 by 1.04 to increase 160 by 4%.
b) Here to decrease 160 by 6%, we subtract 6% of 160 from 160 that is;
Decrease 160 by 6% = 160 - 160×0.06 = 160×(1 - 0.06) = 160 × 0.94 = 150.4
Hence to decrease 160 by 6% we multiply by 0.94.