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:
x>-4
Step-by-step explanation:
|x+7| is just x+7
x+7>3
-7 on both sides
x>-4
Answer:
The approximate length of one side of the canvas (approximate to the nearest hundredth inch)= 10.63
Step-by-step explanation:
There are two ways to solve this problem . One is the use of the calculator and the other is the use of the fraction.
Now the square has equal sides length = breadth .
So we can simply find the length on one side by taking square root with the help of the calculator .
So when you press the symbol of square root after entering the number 113 we get the answer 10.63
Square = Length * breadth
Square = Length * length
Square = L²
One side =√ L²= L so √113= 10.63
The approximate length of one side of the canvas (approximate to the nearest hundredth inch)= 10.63
Answer:
Mary has
3 10
shilling coins.
Step-by-step explanation:
Answer:
4.8%
Step-by-step explanation:
28+12=40
40÷100=0.4
1% - 0.4 teachers
0.4×12=4.8