Question

a rectangular region is removed from another rectangular region to create the shaded regions shown below. find the combined area

Explanation:

Step1: Calculate area of large rectangle

The area formula for a rectangle is $A = l\times w$. For the large rectangle with length $l = 15$ m and width $w = 7$ m, its area $A_1=15\times7 = 105$ m².

Step2: Calculate area of small rectangle

The small rectangle has length $l = 7$ m and width $w = 2$ m. Its area $A_2 = 7\times2=14$ m².

Step3: Calculate shaded - area

The combined area of the shaded regions is the area of the large rectangle minus the area of the small rectangle. So $A = A_1 - A_2=105 - 14=91$ m².

Answer:

91