Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the area of the shaded region? 13 yd 9 yd 14 yd 4 yd square yar…

Question

what is the area of the shaded region? 13 yd 9 yd 14 yd 4 yd square yards

Explanation:

Step1: Calculate area of large rectangle

The large rectangle has length \( 14 \) yd and width \( 13 \) yd. The formula for the area of a rectangle is \( A = l \times w \). So, the area of the large rectangle is \( 13 \times 14 \).
\( 13 \times 14 = 182 \) square yards.

Step2: Calculate area of small rectangle

The small rectangle has length \( 9 \) yd and width \( 4 \) yd. Using the area formula for a rectangle \( A = l \times w \), the area of the small rectangle is \( 9 \times 4 \).
\( 9 \times 4 = 36 \) square yards.

Step3: Subtract small area from large area

To find the area of the shaded region, we subtract the area of the small (unshaded) rectangle from the area of the large (shaded - with unshaded part) rectangle. So, we do \( 182 - 36 \).
\( 182 - 36 = 146 \) square yards.

Answer:

146