Length of the rectangle is 24.5 ft and width is 27.5 ft
Step-by-step explanation:
- Step 1: Let the length of the rectangle be x, then width = x - 3. Find dimensions when perimeter = 104 ft
Perimeter = 2(length + width)
⇒ 104 = 2(x + x-3)
⇒ 104 = 2(2x - 3)
⇒ 104 = 4x - 6
⇒ 4x = 110
∴ x = 110/4 = 27.5
⇒ x - 3 = 24.5
Answer:
32 ft²
Step-by-step explanation:
Given the right angle and equal sides, we have a square. The diagonal is the hypotenuse of a right triangle, so we can use the Pythagorean Theorem to calculate the side lengths, or realize that the side lengths Squared will be the area of the square.
c² = a²+b² Since a² equals b², the equation becomes c² = 2a²
8² = 2a²
64/2 = a²
32 = a², the area of the square.
The side lengths of the square are √32
about 5.657 feet. If we square that square root, we get the area of the square, 32 square feet.
Answer:
True
Step-by-step explanation:
In a translation, the figures face the same direction and are congruent.
