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ella [17]
3 years ago
10

Help me solve 7 and 8 please

Mathematics
2 answers:
ratelena [41]3 years ago
6 0

Answer:

1. 3/7 × 8/21= 24/147= 8/49

2. 6/8 + 1/8= 7/8

ycow [4]3 years ago
4 0

Answer:

Step-by-step explanation:     ques no 7

3 / 7×8  / 21  

8   / 49

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The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.
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You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2 
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Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
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Multiply out the L.
a = \frac{p}{2}l - l^{2}

Plug in all your numbers a = 110 and p = 42
110 = \frac{42}{2}l - l^{2}
110 = 21l - l^{2

Move everything to the left side so l^{2} would be positive (makes the equation easier when l^{2} is positive).
l^{2} - 21l + 110 = 0

Factor.
(l -10)(l-11) = 0

Make each parenthesis set equal to 0.
l-11=0     l-10=0

Add.
l = 11  l = 10

By doing this you solve for both the width and length so the answer is:
w = 11    L = 10
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