Amelia wants to put a fence around her rectangular garden. Thearea of the garden

Question

Amelia wants to put a fence around her rectangular garden. Thearea of the garden is 60 square meters.If the length of the fencingon each side can measure only a whole number of mwters, what areall the different total lengths of fencing Amelia can use? ***please answer quickly. will give points! thank u! Amelia wants to put a fence around her rectangular garden. Thearea of the garden is 60 square meters.If the length of the fencingon each side can measure only a whole number of mwters, what areall the different total lengths of fencing Amelia can use? ***please answer quickly. will give points! thank u!

Explanation / Answer

A rectangle's opposite sides are the same length. The area ofa rectangle is l x h = 60m2 If you are using fencing with whole numbers, what they are askingis what integer factors combine to equal 60 m2 The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and60. Therefore, the rectangle could be any of the following: 1 x 60 2 x 30 3 x 20 4 x 15 5 x 12 6 x 10 Totalling the length of the sides of rectangles with thosedimensions, you get: 1, 1, 60, 60 = 1+1+60+60 = 122m 2, 2, 30, 30 = 2+2+30+30 = 64m 3, 3, 20, 20 = 3+3+20+20 = 46m 4, 4, 15, 15 = 4+4+15+15 = 38m 5, 5, 12, 12 = 5+5+12+12 = 34m 6, 6, 10, 10 = 6+6+10+10 = 32m

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