Question

The perimeter of a rectangle is 90 ft. Find the dimensions of the rectangle if the ratio of the length to the width is 8: 7.
A: 30 ft by 15 ft
B: 26 ft by 19 ft
C: 24 ft by 21 ft
D: 20 ft by 25 ft

Express in its simplest form:
6y : 9y
A: 2: 3
B: 3: 2
C: 9: 6
D: 6: 9

Please help

Answer 1

let the length be 'x' and the width be 'y'
so, x/y = 8/7

since perimeter is given, can you find one more equation in x and y ?

Answer 2

sorry i dont think i understand. when i try work it out i get c but i dont think im right?

Answer 3

can you show what have you worked ?

Answer 4

@LeHa

A ratio of 8:7 can be expressed algebraically as 8x:7x.

Perimeter = 2l + 2w

So your equation would be: 2(8x) + 2(7x) = 90

I think you can solve for x and answer the question.

Answer 5

@LeHa

Do you understand why a ratio of 8:7 can be expressed algebraically as 8x:7x?

Answer 6

yes now I do thanks

Answer 7

welcome.