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(a) the perimeter of a rectangle parking lot is 374 m. If the width of the parking lot is 88m, what is the length?
length of the parking lot _m

(b) the area of a rectangular pool is 6768m^2. if the length of the pool is 94m, what is its width?
width of the pool _m

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

(a) To find the length of the rectangle parking lot, we can use the formula for the perimeter of a rectangle:

Perimeter = 2 * (Length + Width)

Given that the perimeter is 374m and the width is 88m, we can substitute these values into the equation and solve for the length:

374 = 2 * (Length + 88)

Divide both sides of the equation by 2:

374/2 = Length + 88

187 = Length + 88

Subtract 88 from both sides:

Length = 187 - 88

Length = 99m

So, the length of the parking lot is 99m.

(b) To find the width of the rectangular pool, we can use the formula for the area of a rectangle:

Area = Length * Width

Given that the area is 6768m^2 and the length is 94m, we can substitute these values into the equation and solve for the width:

6768 = 94 * Width

Divide both sides of the equation by 94:

6768/94 = Width

Width ≈ 72m (rounded to the nearest whole number)

So, the width of the pool is approximately 72m.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

(a) To find the length of the rectangle parking lot, we need to use the formula for the perimeter of a rectangle, which is given by P = 2 * (length + width).

Given that the perimeter of the parking lot is 374 m and the width is 88 m, we can substitute these values into the equation:

374 = 2 * (length + 88)

Now, let's solve for the length:

374 = 2 * length + 2 * 88
374 = 2 * length + 176
2 * length = 374 - 176
2 * length = 198
length = 198 / 2
length = 99

Therefore, the length of the parking lot is 99 m.

(b) To find the width of the rectangular pool, we need to use the formula for the area of a rectangle, which is given by A = length * width.

Given that the area of the pool is 6768 m^2 and the length is 94 m, we can substitute these values into the equation:

6768 = 94 * width

Now, let's solve for the width:

width = 6768 / 94
width ≈ 72

Therefore, the width of the pool is approximately 72 m.