Question

ing the area of the shape

Explanation:

Step1: Split shape into 2 triangles

The diamond is split into two triangles: one with base $7+11=18$ ft and height 10 ft, and another congruent triangle (since the shape is symmetric with the 10 ft sides equal). Alternatively, we can calculate the area of one triangle and double it, or calculate each triangle's area separately.

Step2: Calculate total base length

The combined height of the two vertical segments is $7 + 11 = 18$ ft.

Step3: Area of one triangle

Area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. For one triangle: $\frac{1}{2} \times 18 \times 10 = 90$ sq ft.

Step4: Total area of the shape

Since the shape is two such congruent triangles, total area is $90$ sq ft (we can also calculate each triangle separately: $\frac{1}{2} \times 7 \times 10 + \frac{1}{2} \times 11 \times 10 = 35 + 55 = 90$ sq ft, same result).

Answer:

90 square feet