Question

Isabella Is building a tree fort .The base of the fort is 78 inches wide by 92 inches long. What is the area of the base in square inches? Show your work What is the area of the base in square feet? Show your work

Answer 1

Answer:

Part a) The area of the base is $7,176\ in^{2}$

Part b) The area of the base is $49\frac{5}{6}\ ft^{2}$

Step-by-step explanation:

we know that

The area of a rectangle is equal to

$A=LW$

Part a)

we have

$L=92\ in$

$W=78\ in$

substitute

$A=92*78=7,176\ in^{2}$

Part b)

we know that

$1\ ft=12\ in$

Convert inches to feet

$92\ in=92/12\ ft$

$78\ in=78/12=6.5\ ft$

substitute in the formula

$A=(92/12)*6.5=(598/12)\ ft^{2}$

Convert to mixed number

$(598/12)\ ft^{2}=(588/12)+(10/12)=49+(5/6)=49\frac{5}{6}\ ft^{2}$