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natita [175]
3 years ago
8

The perimeter of a rectangle is 160cm. The rectangle is 4 times longer then wide . What are the length and width of this rectang

le
Mathematics
2 answers:
tamaranim1 [39]3 years ago
7 0

Answer:

Length = 64 cm , width =16 cm

Step-by-step explanation:

Given Perimeter = 160

Let width = x

Length = 4x

Hence perimeter =2 (length) +2 ( width)

160 = 2(4x)+2(x)

160 = 8x + 2x

160 = 10x

160/10 =x

16 = x

Hence width = 16 cm

Put the value of x in 4x

Length= 4(16)

Length =64 cm

Hence length = 64 cm, width =16 cm

cluponka [151]3 years ago
4 0

Answer:

length is 64 and width is 16

Step-by-step explanation:

all the sides added up would be 10x becuase the lenght is 4 times the width so it would be 4x+x+4x+x which would be 10x

so do 160/10x so x =16

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Ben's age is currently twice of his sister, Emma. 8 years ago, Ben's age was 2 and a half times that of Emma's age at that time.
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Emma is now 24 years old then Ben would be 2E, or 48 years old.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let B and E be Ben's and Emma's current ages, respectively.

We have given that;

Ben's age is currently twice of his sister, Emma.

B = 2E

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8 years ago, Ben's age was 2 and a half times that of Emma's age

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We can substitute the value of B from the first equation into the last one

B-8 = 2.5(E-8)

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brainly.com/question/10413253

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