(a) If the breadth of rectangle in one-third of its length and perimeter is 80 cm, find the length and breadth of rectangle. ​

Length = 30m and Breadth = 10m  

Step-by-step explanation:  

Given that :  

Perimeter = 80 m ;  

Breadth = 1/3 of Length ; Length = l  

We know that :  

Perimeter of rectangle = 2 ( L + B ).  

80 = 2 ( L + 1/3 L )  

80/2 = 4/3 L.  

40 = 4/3 L  

3/4 × 40 = L.  

3 × 10 = L.  

L = 30m.  

Breadth = 1/3 of Length.  

Breadth = 1/3 × 30.  

Breadth = 10m.

width = 10, length = 30

Step-by-step explanation:

the perimeter can be written as: (2 x width)(2 x length) or width + width + length + length, I'm sure there are others, but I won't get into that.

anyways, lets call width of the triangle "x". x is 1/3 of the length, in other words, x + x + x = length. we can now say that length is 3x.

width = x

length = 3x

now lets plug in these answers to the "width" and "length" in the perimeter formula

perimeter = x + x + 3x + 3x

we are given the perimeter, that is 80.

x + x + 3x + 3x = 80

x + x can be simplified to 2x

think of "x" like label, say... xylophones

2 xylophones + 3 xylophones + 3 xylophones = 8 xylophones

8x = 80

divide 80 by 8.

x = 10

now we know the width.

width = 10

remember, the length is width x 3

10 x 3 = 30

the width = 30

let's check our answer!

10 + 10 + 30 + 30 = 80

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: