What is the unit rate of y=0.75x

Since the original garage is square-shaped with an area of 228 ft², then we can find the length of each side. If we let x = the side length, then we have:

x² = 228

x = 15.1 ft

Assuming that the garage will remain square-shaped with sides of uniform dimensions, then we can label each side of the expanded garage as 15 + y. We need to solve for y. Again, we use the area formula. Remember that the expanded garage will have an area of 342 ft², we now have:

(y + 15)² = 342

y² + 30y + 225 = 342

y² + 30y - 117 = 0

This can be solved using the Quadratic Formula. Remember that dimensions must always be positive. Once you determine y, then you will know what the length will be of the expanded garage

8 0

3 years ago

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weqwewe [10]

Question 1: Equiangular

Question 2: Area of the parallelogram = 48 square centimeters

Question 3: Perimeter of the rectangle = 42 ft

Question 4: Area of the trapezoid = 154 square inches

Solution:

Question 1:

The given polygon is a rectangle.

The angles of each side of the polygon is 90°.

This means all angles are equal.

Hence Option A equiangular is the correct answer.

Question 2:

Area of the parallelogram = Base × Height]

= 6 cm × 8 cm

Area of the parallelogram = 48 square centimeters

Question 3:

Perimeter of the rectangle = 2(length + width)

= 2( 15 ft + 6 ft)

= 2(21 ft)

Perimeter of the rectangle = 42 ft

Question 4:

Area of the trapezoid = $\frac{1}{2}\times \text{sum of the parallel sides}\times \text{height}$

$$=\frac{1}{2}\times (14+ 8)\times 14$

$$=\frac{1}{2}\times 22\times 14$

Area of the trapezoid = 154 square inches

8 0

3 years ago