Question 5. I need help please

Mathematics

1 answer:

Nonamiya [84]3 years ago

7 0

The answer would be C. 72

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The rectangle below has an area of x^2-x-72x 2 ?x?72 square meters and a length of x+8x+8 meters. What expression represents the

Varvara68 [4.7K]

Answer:

Area of the rectangle is given by:

$A = l \times w$

where

A is the area of the rectangle

l is the length of the rectangle

w is the width of the rectangle respectively.

As per the given statement:

Area of the rectangle(A) = $x^2-x-72$ square meters

length of the rectangle(l) = x+8

Substitute these in the given formula we have;

$x^2-x-72 = (x+8) \times w$

$x^2-9x+8x-72 = (x+8) \times w$

$x(x-9)+8(x-9)= (x+8) \times w$

$(x+8)(x-9)= (x+8) \times w$

Divide both sides by x+8 we have;

$w = (x-9)$ meters.

Therefore, the expression represents the width of the rectangle is x-9 meters

4 0

3 years ago

Look at this prism and its net. Rectangular prism with length labeled 5 meters, width labeled 7 meters, and height labeled 12 me

kaheart [24]

There will be three pairs of matching sides: one pair 5x7, one pair 5x12 and one pair 12x7. We can compute the are of each side (in pairs) and then add up the total:

$A_{surf}=2\times(l \times w)+2\times(l \times h)+2\times(h \times w)$
$A_{surf}=2\times(5\times7)+2\times(5\times12)+2\times(12\times7)$
$A_{surf}=2\times35+2\times60+2\times84$
$A_{surf}=70+120+168$
$A_{surf}=358$
$A_{surf}=358m^{2}$