Harry's rectangular side yard is 2 yards by 14 yards with an area of 28 square yards. Which dimensions have the same area? A. L = 12 yards; W = yards 4 B. L = 14 yards; W = 7 yards C. L = 7 yards; W = 4 yards D. L = 7 yards; W = 7 yards

Respuesta :

area= length x width
The answer is C because 14(2)=28 and so does 4(7)=28

We are given

Harry's rectangular side yard is 2 yards by 14 yards with an area of 28 square yards

we know that

[tex] Area=length*width [/tex]

So, product of dimensions must be 28

so, we will check each options

option-A:

L = 12 yards; W = yards 4

[tex] Area=L*W [/tex]

now, we can plug values

[tex] Area=12*4 [/tex]

[tex] Area=48 [/tex]

this is not equal to 28

so, this is FALSE

option-B:

L = 14 yards; W = yards 7

[tex] Area=L*W [/tex]

now, we can plug values

[tex] Area=14*7 [/tex]

[tex] Area=98 [/tex]

this is not equal to 28

so, this is FALSE

option-C:

L = 7 yards; W = yards 4

[tex] Area=L*W [/tex]

now, we can plug values

[tex] Area=7*4 [/tex]

[tex] Area=28 [/tex]

this is equal to 28

so, this is TRUE

option-D:

L = 7 yards; W = yards 7

[tex] Area=L*W [/tex]

now, we can plug values

[tex] Area=7*7 [/tex]

[tex] Area=49 [/tex]

this is not equal to 28

so, this is FALSE