The perimeter of a rectangle is 90 feet. if the length is 25 feet more than the width, what are the dimensions of the rectangle?

Width = 10 feet

Length = 2x + 4

Length = 2 (10) + 4

Length = 24 feet

Dimensions are 10 feet by 24 feet.

Step-by-step explanation:

The perimeter of a rectangle is the length of all 4 sides added together. Since it is a rectangle, we know that it has 2 pairs of identical parallel sides, so the perimeter will be 2 × the length plus 2 times the width. The problem gives us some key information so that we can solve for the dimensions. If we let x equal the width, the length will be 2x + 4 so the equation will be...

2(x) + 2 (2x + 4) = 68

2x + 4x + 8 = 68

6x + 8 = 68

6x = 60

x = 10

Since we made the width x...

Width = 10 feet

Length = 2x + 4

Length = 2 (10) + 4

Length = 24 feet

Dimensions are 10 feet by 24 feet.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: