Nathan is building a toolset with a rectangular floor. The area of a rectangle is given by the formula1. w, where 1 represents the length, and w represent the width. The floor of the shed will have measurement of either 1=9 and w=7 or 1=8 and w= 8. What is the area of the larger floor?
now you know why we do not use lower-case L's in our problems online. They look too much like the number 1.
so, which is larger?
8*8 or 7*9
??
Ah, Nathan and his toolset empire! Let's calculate the areas of both options and find out which floor takes the crown.
For the first option, where 1 = 9 and w = 7, the area is given by 1 * w = 9 * 7 = 63.
And for the second option, where 1 = 8 and w = 8, the area is 1 * w = 8 * 8 = 64.
Drumroll, please... the winner is the second option! With an area of 64, it's got that extra square unit to boast about. Nathan's tools are living large on that spacious floor!
To find the area of the larger floor, we need to compare the areas of the two options.
Option 1: 1 = 9, w = 7
Area = 1 * w = 9 * 7 = 63 square units
Option 2: 1 = 8, w = 8
Area = 1 * w = 8 * 8 = 64 square units
Comparing the two options, we can see that the area of the larger floor is 64 square units.
To find the area of the larger floor, we first need to calculate the area of each floor individually.
For the first floor, where 1=9 and w=7, we can use the formula for the area of a rectangle: Area = 1 * w. So, the area of the first floor is 9 * 7 = 63 square units.
For the second floor, where 1=8 and w=8, we can again use the same formula: Area = 1 * w. So, the area of the second floor is 8 * 8 = 64 square units.
Now, we compare the two areas to determine which one is larger. In this case, since 64 is greater than 63, the area of the larger floor is 64 square units.