The perimeter of a rectangle is 108cm. The ration of its length to its width is 7:2 what is the area of the rectangle in cm2?
1 answer:
Answer:
504 cm²
Step-by-step explanation:
Let the length and the width of the rectangle be L cm and W cm respectively.
Perimeter= 2(L +W)
2(L +W)= 108
L +W= 108 ÷2
L +W= 54
L= 54 -W -----(1)
<em>Cross multiply:</em>
2L= 7W -----(2)
Substitute (1) into (2):
2(54 -W)= 7W
<em>Expand:</em>
108 -2W= 7W
<em>+2W on both sides:</em>
9W= 108
<em>Divide both sides by 9:</em>
W= 108 ÷9
W= 12
<em>Substitute W= 12 into (1):</em>
L= 54 -12
L= 42
Area of rectangle
= length ×width
= LW
= 42(12)
= 504 cm²
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Hi there!
• x = - 3
Let's first calculate f(x) and g(x) individually :-
• f(x) = 4x - 7
⇒ 4(- 3) - 7
⇒ - 12 - 7 = - 19
• g(x) = 2x + 4
⇒ 2(- 3) + 4
⇒ - 6 + 4 = - 2
According to th' question :-
f(x) + g(x)
⇒ - 19 + (- 2)
⇒ - 19 - 2
⇒ - 21
~ Hope it helps!
• x = - 3
Let's first calculate f(x) and g(x) individually :-
• f(x) = 4x - 7
⇒ 4(- 3) - 7
⇒ - 12 - 7 = - 19
• g(x) = 2x + 4
⇒ 2(- 3) + 4
⇒ - 6 + 4 = - 2
According to th' question :-
f(x) + g(x)
⇒ - 19 + (- 2)
⇒ - 19 - 2
⇒ - 21
~ Hope it helps!
Answer:
Jason has $58.20 and Jeff has $13.80.
Step-by-step explanation:
Let x represent the amount of money Jason has, and y represent the amount of money Jeff has.
We know that together they have $72. So, we can write the following equation:
We know that Jason has three <em>more</em> than four <em>times</em> the amount of money Jeff has. So:
This is a system of equations. We can solve it by using substitution. Let's substitute the second equation into the first. This yields:
Combine like terms:
Subtract 3 from both sides:
Divide both sides by 5:
So, Jeff has $13.80
We know that Jason has three more than four times the amount of money Jeff has.
Therefore, Jason has:
Multiply and add:
So, Jason has $58.20 and Jeff has $13.80.
And we're done!