# Solving for Distance and Measurements

1. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.

A 4-ft by 6-ft picnic table is placed on an outdoor patio measuring x ft by (x + 2) ft. Find a polynomial for the remaining open space on the patio (in square feet).

2. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.

An object's altitude, in meters, is given by the polynomial h + vt - 9.8t2, where h is the height in meters from which the launch occurs, v is the initial upward speed in meters per second, and t is the number of seconds for which the rocket is airborne. A pebble is shot upward from the top of a building 175 meters tall. If the initial speed is 32 meters per second, how high above the ground will the pebble be after 3 seconds? Round results to the nearest tenth of a meter.

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#### Solution Preview

1. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.

A 4-ft by 6-ft picnic table is placed on an outdoor patio measuring x ft by (x + 2) ft. Find a polynomial for the remaining open space on the patio (in square feet).

Solution:

Open space area = area of patio - area of table

Area of table = 4*6 = 24 square ...

#### Solution Summary

In a brief, but concise response, this solution illustrates how the five-step problem-solving process can be used to solve algebraic word problems. All calculations are included.