(x + 5) cm х Parking Lot In Exercises 49-52, use the following information. Your school plans to increase the area of the parking lot by 1000 square yards. The original parking lot is a rectangle, as shown. The length and width of the original parking lot will each increase by x yards. The width parking of the original parking lot is 40 yards, and the length lot of the original parking lot is 50 yards. 49. Find the area of the original parking lot. 50 yd 40 yd х 50. Find the total area of the parking lot with the new space. 51. Write an equation that you can use to find the value of x. 52. Solve the equation from Exercise 51. By how many yards should the length and width of the parking lot increase?need help with 51

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MarleyannO760841 MarleyannO760841 · Answer 1 · 2022-11-03T08:01:56+01:00

Let's take a look at what's going on:

Original parking lot:

Therefore, the original area of the parking lot would be

[tex]50\cdot40=2000[/tex]

Increasing x yards in each side:

The area of this rectangle would be:

[tex](50+x)(40+x)[/tex]

And we know that the school wants it to be 1000 square yards greater than the original area (2000). The new area would have to be 3000

Thus,

[tex](50+x)(40+x)=3000[/tex]

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