Formulas? The formula for the area of a rectangle is A = lw. There is more to the question in the description.

Question

The formula for the area of a rectangle is A = lw.

a. Find the formula for length l in terms of area A and width w.

b. Use the new formula to find the length of a rectangle that has an area of

35 square feet and a width of 5 feet.

Mars Pathfinder was launched on December 4, 1996. During its 212 day flight to

Mars, it traveled about 310 million miles.

a. Solve the distance formula d = rt for rate r.

b. Estimate Pathfinder’s average speed in miles per hour. Round your

answer to the nearest whole number.

Answer 1

I'll do the first one. The 2nd is on you.

a. A = lw

A/w = lw/w

l = A/w

b. l = 35/5

l = 7 ft

Answer 2

A = lw

To find l, divide both sides by w to get l = A/w.

l = 35/5 = 7 → The length of the rectangle is 7 feet.

d = rt

To find r, divide both sides by t to get r = d/t.

t = (212 days)(24 hours/day) = 5,088 hours

r = 310,000,000/5,088 ≈ 60,928 → Pathfinder's average speed is about 60,928 miles per hour.