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2 x (l + w)or 2l + 2w

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12y ago

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What is the rule for the perimeter of a rectangle?

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What is the rule for finding the area of a rectangle?

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What is the rule for working out the area of a rectangle?

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What is the length and width of a rectangle with the perimeter of 60 and an area of 224?

The length of the rectangular slab = LThe width of the rectangular slab = WThe formula for perimeter in terms of the length and width is 2L + 2W = 60The area =L*W = 224So L=224/WWe substitute that into the formula for perimeter and we haveP=2(224/w)+2w=60This can be simplified tow2-30w+224=0 so we can solve it and find w.Fortunately, it factors or else we would need to use the quadratic equation.(w-14)(w-16)=0. Now we use the zero product rule and we findthe solutions are 14 and 16. This means the rectangle is 14x16. We need to check the answer.We note that 14x16=224 so that is the desired area and 14x2+16x2=28+32=60 which is the desired perimeter.