A rectangle's width is one-seventh its length, and its perimeter is 224 m. Find the dimensions of the rectangle.​

98 m long and 14 m wide

Step-by-step explanation:

If the width is one seventh its length, the length is 7 times greater than the width.

Let the width be represented by w, and let the length be represented by 7w.

Use the perimeter formula, p = 2l + 2w.

Plug in 224 as the perimeter, 7w as l, and solve for w:

p = 2l + 2w

224 = 2(7w) + 2w

224 = 14w + 2w

224 = 16w

14 = w

The length is 7 times greater, so multiply this by 7:

14(7)

= 98

So, the rectangle is 98 m long and 14 m wide

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.