Q. A rectangular sheet of copper has a perimeter of 18.6m. If its length is 6.8 times its breadth, find:a) its breadth(width)b) its areaI don‘t do very well with english+math questions. Explaination would be appreciated. Thanks in advance.
18.6 2(x * 6.8) + 2(x) xwidth simple algebra gives x1.1923076923076923076923076923077 area x*(x*6.8)9.6668639053254437869822485206. .i think.
Given: A rectangular sheet of copper has a perimeter of 18.6m Keywords: perimeter of 18.6m Implied: You know the perimeter formula: P 2(L + W) Means: P 2(L + W) 18.6 Given: its length is 6.8 times its breadth HINT: If you're having trouble translating the word problem into equations, try breaking them up into smaller pieces. Given: its length is Means: L Given: 6.8 times Means: 6.8 * Given: its breadth Implied: breadth width Means: W Put them all back together. Given: its length is 6.8 times its breadth Means: L 6.8W You have 2 equations. P 2(L + W) 18.6 L 6.8W To solve, substitute L with 6.8W in the first equation. 2(L + W) 18.6 2(6.8W + W) 18.6 Simplify. 2(7.8W) 18.6 15.6W 18.6 Divide both sides by 15.6 to find W. 15.6W / 15.6 18.6 / 15.6 W 1.19230769 Plug this into the second equation to find L. L 6.8W L 6.8(1.19230769) L 8.10769229 Round the solved width and length to the nearest tenth W 1.19230769 W ≈ 1.2 L 8.10769229 L ≈ 8.1 ANSWER: a) Its width is about 1.2 m. To find the area, remember the area formula: A L * W. Plug in your known values. A L * W A 8.10769229 * 1.19230769 A 9.66686387 Round this to the nearest tenth. A 9.66686387 A ≈ 9.7 ANSWER: b) Its area is about 9.7 m. Hope this helps!
