The perimeter of a rectangle is 61 feet. the length is 5 more than twice the width. what is the length and width?

Length = 22 feet Width= 8.5 feet

Step-by-step explanation:

Perimeter= 61

Let Width= x

Length= 2x+5

Perimeter= 2l + 2w

61= 2(2x+5) + 2x

61 = 2(2x+5+x)

61/2 = 3x+5

30.5 -5 = 3x

25.5 = 3x

25.5/3 =x

x= 8.5

Hence, width = 8.5 feet

Then, the length = 2x+5 = 2(8.5) +5 = 22 feet

Hope this helps!

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

step-by-step explanation:

left be aligning the decimal points is required to not required see the number of digits to the right