Question

The base of a parallelogram is 10 inches the height is 2 inches more than half the base find the area

Answer 1

To get the area of the parallelogram, first determine the height, which is 5 inches plus 2 inches, totaling 7 inches. Using the formula (base × height), the area is calculated as 10 inches times 7 inches, resulting in 70 square inches.

Step-by-step explanation:

To find the area of the parallelogram, we need to identify its base and height. The base is already given as 10 inches. Next, we calculate the height, which the problem states as '2 inches more than half the base.' First, we find half of the base: 10 inches / 2 = 5 inches. Then, add 2 inches to get the height: 5 inches + 2 inches = 7 inches. Now we have the height of the parallelogram.

Using the formula for the area of a parallelogram (base × height), we can now calculate the area.

Area = 10 inches × 7 inches = 70 square inches.

Thus, the area of the parallelogram is 70 square inches.

Answer 2

Given is a parallelogram whose base is b = 10 inches and it says height is 2 more than half-value of base i.e. h = 2 + (b ÷ 2).

So height is h = 2 + (10 ÷ 2) = 2 + 5

⇒ h = 7 inches.

We know the formula for area of parallelogram is given as follows :-

Area of parallelogram = base x height

Area of parallelogram = 10 inches x 7 inches

Area of parallelogram = 70 squared inches.

Hence, the final answer is 70 squared inches.