The area of a rectangle is 192 in2. The ratio of the length to the width is 4:3. Find the length and the width.

Step-by-step explanation:

let the length and breadth's ratio be 4x and 3x

Given,

area of rectangle = 192 in²

we know,

Area of rectangle = L × B/w

after inserting the values in the formula we got,

→ 4x × 3x = 192

→ 12x² = 192

→ x² = 192/12 = 16

→ x² = 16

→ x = √16 = 4

→ x = 4

therefore , length and breadth/width are,

length = 4x = 4×4 = 16

width = 3x = 3×4 = 12

hence length is 16 in. and width is 12in.

hope this answer helps you deartake care and may u have a great day ahead!

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.