If Ms. Callahan has 24 feet of fencing, and she is building a pen, the PERIMETER of the pen must be 24 feet. The perimeter is basically the distance around a figure. The perimeter of a rectangle is equal to length plus width plus length plus width, AKA l+w+l+w, or P=2l+2w. In a rectangle, two pairs of sides are of equal length--so the two lengths and the two widths must be equal.
So, the formula is P=2l+2w. P, the perimeter, is 24, so 24=2l+2w. Let's try some values for l and see what we get for w. If the length is 1, l=1. 24=(2*1)+2w. 24=2+2w. 22=2w. w=11. So if length is 1 foot, width is 11 feet.
What if l=2? 24=(2*2)+2w. 24=4+2w. 2w=20. w=10. If l=2, w=10. And l=3? 24=(2*3)+2w. 24=6+2w. 18=2w. w=9. If l=3, w=9. Do you see a pattern? Every time we add 1 to l, we subtract 1 from w. So if l=4, w=8. If l=5, w=7. If l=6, w=6. Here, we start getting similar answers: if l=7, w=5. If l=8, w=4. Since we already know these values work, it doesn't matter whether we call it length or width. So, our answers are below.
Answer: Ms Callahan can make a pen with a length of 1 foot and a width of 11 feet, a length of 2 feet and a width of 10 feet, a length of 3 feet and a width of 9 feet, a length of 4 feet and a width of 8 feet, a length of 5 feet and a width of 7 feet, or a length of 6 feet and a width of 6 feet.
Answer:
Alex is wrong in calculating his dive distance Actual Dive distance is 30 feet.
Step-by-step explanation:
Given:
Distance from where he dive from = 15 feet
Distance he reached after dive = 15 feet
Also Given:
Alex says that the two distances are opposites,
Also Total distance of dive according to Alex = 15 +-15 =0 feet
Solution:
We know that the diving board is 15 feet above the water level, but here it is important to know that even he is above the surface of the water he is diving in the water and then he reached 15 deep in the water.
From above scenario we can say that the two distances are in the same direction.
Total Distance of dive will be = 15 +15 =30 feet.
Hence We can say that Alex is wrong in calculating his dive distance Actual Dive distance is 30 feet.
Answer:
The regular polygon is a nonagon
Step-by-step explanation:
<u><em>The correct question is</em></u>
What is the name of the regular polygon that each interior angle measures 140゚?
we know that
The formula to find the sum of the interior angles in a regular polygon is equal to

where
n is the number of sides of the regular polygon
a is the measure of each interior angle of the regular polygon
we have

substitute in the formula and solve for n





so
The regular polygon has 9 sides
therefore
The regular polygon is a nonagon
Answer:
8
Step-by-step explanation:
<u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u>
The breadth of rectangular carpet is 1.8 m.
<u>S</u><u>t</u><u>e</u><u>p</u><u>-</u><u>b</u><u>y</u><u>-</u><u>s</u><u>t</u><u>e</u><u>p</u><u> </u><u>e</u><u>x</u><u>p</u><u>l</u><u>a</u><u>n</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u>
We have,
- The area of rectangular carpet that is 23.4 m²
- The length of carpet is 13 m.
We know that,
= Area of rectangle = Length × Breadth
= 23.4 = 13 × Breadth
= 23.4/13 = Breadth
= 234/130 = Breadth
= 1.8 m = Breadth
<h2>__________________________</h2>