Math problem ben and jerry live on a corner lot. often neighborhood children cut across their lot to save walking distance. if the length of their lot is 14 feet more than its width and the path across their lot is 26 feet, how many feet of walking distance is saved by cutting their property instead of walking around the lot

Walking distance that is saved by cutting their property instead of walking around the lot is nearly 1.5 feet or

Step-by-step explanation:

Let

Width of the lot = x feet

Length of the lot = x + 14 feet

Diagonal = 26 feet

By the Pythagorean theorem,

The distance cannot be negative, so

Find the sum of the length and the width:

So, walking distance that is saved by cutting their property instead of walking around the lot is nearly 1.5 feet or

the correct answer to your question is a. 4^4

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2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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