The length of a rectangle is 4 less than 3 times the width. perimeter is 40 inches. what is the area of the rectangle?

Area = 84 in²

Step-by-step explanation:

In order to find the area of the rectangle, you need to first set up an equation to find the length based on the information already given in the problem.  Since the perimeter = 40 and the formula to find perimeter of a rectangle is:       P = 2W + 2L, where W = width and L=Length, we can solve for 'L' by putting in the values given:

P = 2W + 2L  or  40 = 2W + 2(3W - 4)

The length of the rectangle is '4 less than 3 times the width'.  This can be written as the expression '3W - 4'.

Distribute:  40 = 2W + 2(3W - 4)  or 40 = 2W + 6W - 8

Combine like terms:  40 = 8W - 8

Add '8' to both sides:  40 + 8 = 8W - 8 + 8 or 48 = 8W

Divide both sides by '8':  48/8 = 8W/8 or 6 = W

Solve for L:  3W - 4 or 3(6) - 4 = 18 - 4 = 14

Since L=14 and W = 6, we can solve for Area using the formula: A = LxW or A = (14)(16) = 84in².

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.