On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 11 and length of 9. Rectangular base of arrow has length of 7 and height of 8. All units are in centimeters. Calculate the area of the arrow by decomposing it into rectangles and triangles. (4 points)

The image of the arrow is missing, so i have attached it.

A_t = 69.5 cm²

Step-by-step explanation:

In a second image attached, I have divided the arrow into triangle and rectangle.

From the second image,

A1 is area of triangle while A2 is area of rectangle

Area of triangle is; A1 = ½bh

Our triangle base is given as 9 cm.

To get the height, we will subtract the rectangle height of 8 cm from the total arrow height.

Thus; height of triangle; h = 11 - 8 = 3cm

Thus;

A1 = ½ × 9 × 3

A1 = 13.5 cm²

Formula for area of rectangle is;

A2 = length × breadth

A2 = 8 × 7

A2 = 56 cm²

Thus, total area of arrow is;

A_t = A1 + A2 = 13.5 + 56

A_t = 69.5 cm²

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.