Question

lawn lalita has to buy grass seed for her lawn. her lawn is in the shape of the composite figure shown. what is the area of the lawn?

Explanation:

Step1: Calculate area of left - hand rectangle

The left - hand rectangle has length $l = 10$ ft and width $w = 5$ ft. The area of a rectangle is $A = lw$. So, $A_1=10\times5 = 50$ $ft^2$.

Step2: Calculate area of middle rectangle

The middle rectangle has length $l = 20$ ft and width $w=5 + 2.5+2.5=10$ ft. The area of a rectangle is $A = lw$. So, $A_2=20\times10 = 200$ $ft^2$.

Step3: Calculate area of right - hand triangle

The right - hand triangle has base $b = 15$ ft and height $h = 6$ ft. The area of a triangle is $A=\frac{1}{2}bh$. So, $A_3=\frac{1}{2}\times15\times6=45$ $ft^2$.

Step4: Calculate total area of the lawn

The total area $A = A_1+A_2+A_3$. So, $A=50 + 200+45=295$ $ft^2$.

Answer:

$295$ $ft^2$