Answer:
width = 72 yards
length = 108 yards
Step-by-step explanation:
Given:
- Width = 75 yards
- Length = 105 yards
<u>Area of the field</u> with the given values:

To maintain the <u>same perimeter</u>, but <u>change the area</u>, either:
- decrease the width and increase the length by the same amount, or
- increase the width and decrease the length by the same amount.
In geometry, length pertains to the <u>longest side</u> of the rectangle while width is the <u>shorter side</u>. Therefore, we should choose:
- decrease the <u>width</u> and increase the <u>length</u> by the <u>same amount</u>.
<u>Define the variables</u>:
- Let x = the amount by which to decrease/increase the width and length.
Therefore:


Solve the inequality:

Therefore, as distance is positive only and the maximum width is 75 yd (since we are subtracting from the original width):


Therefore, to find the width and length of another rectangular field that has the same perimeter but a smaller area than the first field, simply substitute a value of x from the restricted interval into the found expressions for width and length:
<u>Example 1</u>:
⇒ Width = 75 - 3 = 72 yd
⇒ Length = 105 + 3 = 108 yd
⇒ Perimeter = 2(72 + 108) = 360 yd
⇒ Area = 72 × 108 = 7776 yd²
<u>Example 2</u>:
⇒ Width = 75 - 74 = 1 yd
⇒ Length = 105 + 74 = 179 yd
⇒ Perimeter = 2(1 + 179) = 360 yd
⇒ Area = 1 × 179 = 179 yd²
Answer:
1, 5, 10, 10, 7, 1
Step-by-step explanation: Count
190 / 5 = 38
38 * 31 = 1178
1178 * 4 = 4712
= $47.12
Answer:
alright first its going to be fraction on the numerator add up all the numebers you have and for denomonator count numbers are given
Step-by-step explanation:
10+8+7+9+5+12+8+6+8+2 over 10
Answer:
Step-by-step explanation:
y = -12x - 1
y = 14x - 4
-12x - 1 = 14x - 4
-1 + 4 = 14x + 12x
3 = 26x
3/26 = x
y = 14x - 4
y = 14(3/26) - 4
y = 42/26 - 4
y = 42/26 - 104/26
y = - 62/26 reduces to - 31/13
solution : x = 3/26 and y = -31/13 or (3/26,-31/13)