Arectangular cutting board has a perimeter of 36 inches and an area of 80 square inches. what are the dimensions of the cutting board?

The dimension are 10 inches by 8 inches

Step-by-step explanation:

The rectangular cutting has a perimeter of 36 inches . The area is 80 inches². The dimension can be solved as follows :

perimeter of a rectangle = 2l + 2b

where

l = length

b = breadth

36 = 2l + 2b(i)

Area of  a rectangle = l × b = lb

80 = lb(ii)

l = 80/b

Insert the value of l in equation (i)

36 = 2(80/b) + 2b

36 = 160/b + 2b

36 = (160 + 2b²)/b

cross multiply

36b = 160 + 2b²

2b² - 36b + 160 = 0

b² - 18b + 80 = 0

(b - 8)(b - 10)

b  = 8 or  b = 10

let us insert b in equation (ii)

80 = lb(ii)

80 = l8

l = 80/8

l = 10

or if we insert b =10

80 = lb(ii)

80 = 10l

l = 8

The dimension are 10 inches by 8 inches

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.