Sally has a photograph that has an area of 35 square inches. She creates 2 enlargements of the photograph. The enlargements have areas of 140 square inches and 560 square inches. In each photograph, the length is 1 2/5 times the width. Select which of thr following could be th dimensions of the original photograph or one of the enlargements. Mark all that apply

5 inches by 7 inches

20 inches by 28 inches

7 inches by 20 inches

21 inches by 15 inches

10 inches by 14 inches

Question

Mathematics

Davin

12 January, 16:43

Sally has a photograph that has an area of 35 square inches. She creates 2 enlargements of the photograph. The enlargements have areas of 140 square inches and 560 square inches. In each photograph, the length is 1 2/5 times the width. Select which of thr following could be th dimensions of the original photograph or one of the enlargements. Mark all that apply

5 inches by 7 inches

20 inches by 28 inches

7 inches by 20 inches

21 inches by 15 inches

10 inches by 14 inches

+2

Answers (1)

Know the Answer?

Kaitlynn Ward · Answer 1

The area of the photograph is:

A = (w) * (l)

Where,

w: width

l: long

Substituting:

35 = (w) * (1.4w)

35 = 1.4 * w ^ 2

w = root (35 / 1.4)

Dimensions of the original photograph:

w = 5 in

l = 1.4 * (5) = 7 in

Dimensions of extension 1:

k = (140) / (35) = 4

w = 4 * 5 = 20 in

l = 4 * 7 = 28 in

Dimensions of extension 2:

k = (560) / (35) = 16

w = 16 * 5 = 80 in

l = 16 * 7 = 112 in

Answer:

5 inches by 7 inches

20 inches by 28 inches