What is the length and width of a rectangle if your area is 40 inches and you perimeter is 26 inches
2 answers:
We can write equations, using x and y as the length and width:
xy=40
2x+2y=26
Divide the second equation by two to get:
xy=40
x+y=13
Thus, x=13-y.
We now have (13-x)x=40, so
and
Factoring, we get:
(x-5)(x-8)=0
So, x can be either 5 or 8 (and y will be the other option). Thus, the length and width are 8 and 5.
xy=40
2x+2y=26
Divide the second equation by two to get:
xy=40
x+y=13
Thus, x=13-y.
We now have (13-x)x=40, so
and
Factoring, we get:
(x-5)(x-8)=0
So, x can be either 5 or 8 (and y will be the other option). Thus, the length and width are 8 and 5.
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Answer:
The circle has an area of about 1385 square mm.
Step-by-step explanation:
Let's recall that circles have an area that can be found with the following formula:
where r is the radius of the circle.
Now, focus your eyes on the circle. We are shown that the diameter of this circle is 42 mm, but we only want the radius. Since the radius is half the diameter, the radius is 21 mm. Now, we can solve for the area of the circle.
So, to the nearest whole number, the area of the circle is 1385 square mm.